ORIGINAL_ARTICLE
Weak amenability of (2N)-th dual of a Banach algebra
In this paper by using some conditions, we show that the weak amenability of (2n)-th dual of a Banach algebra A for some $n\geq 1$ implies the weak amenability of A.
http://jlta.iauctb.ac.ir/article_510112_4481b97ff2be6b5aec88a2d5db69c502.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
55
65
Banach algebra
Arens porducts
Arens regularity
derivation
weak amenability
M.
Ettefagh
minaettefagh@gmail.com
true
1
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
LEAD_AUTHOR
S.
Houdfar
true
2
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
AUTHOR
[1] R. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2 (1951), 839-848.
1
[2] W.G. Bade, P.C. Curtis and H.G. Dales,, Amenability and weak amenability for Bearling and Lipschitz algebra, Proc. London Math. Soc. , 55 (1987), no. 3, 359-377.
2
[3] A. Bodaghi, M.Ettefagh, M.E. Gordji and A. Medghalchi, Module structures on iterated duals of Banach algebras, An.st.Univ.Ovidius Constanta, 18(1) (2010) 63-80.
3
[4] H.G. Dales, F. Ghahramani, and N. Gronbaek, Derivations into iterated duals of Banach algebras, Studia Math, 128 (1998), no.1, 19-54.
4
[5] H.G. Dales, Banach algebra and Automatic continuity, Oxford university Press, (2000).
5
[6] M. Ettefagh, The third dual of a Banach algebra, Studia. Sci. Math. Hung, 45(1) (2008) 1-11.
6
[7] B.E. Johnson, Cohomology in Banach algebras, Mem. Amer. Math. Soc, 127 (1972).
7
[8] A. Medghalchi and T.Yazdanpanah, Problems concerning n-weak amenability of a Banach algebra, Czecholovak Math. J, 55(130) (2005) 863-876.
8
ORIGINAL_ARTICLE
A note on uniquely (nil) clean ring
A ring R is uniquely (nil) clean in case for any $a \in R$ there exists a uniquely idempotent $e\in R$ such that $a-e$ is invertible (nilpotent). Let $C =(A V W B)$ be the Morita Context ring. We determine conditions under which the rings $A,B$ are uniquely (nil) clean. Moreover we show that the center of a uniquely (nil) clean ring is uniquely (nil) clean.
http://jlta.iauctb.ac.ir/article_510113_61313dd0e6f0354fd7ec465bb79fa807.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
67
69
Full element
uniquely clean ring
nil clean ring
Sh.
Sahebi
true
1
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
AUTHOR
M.
Jahandar
m66.jahandar@gmail.com
true
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
LEAD_AUTHOR
[1] M. Y. Ahn, (2003). Weakly clean rings and almost clean rings. Ph.D. Thesis, University of Lowa.
1
[2] D. D. Anderson, V. P. Camillo, Commutative rings whose elements are a sum of unit and idempotent. Comm. Algebra 30 (2002), pp. 3327-3336.
2
[3] B. Li, L. Feng, F-clean rings and rings having many full elements. J. Korean Math. Soc. 2 (2010), pp. 247-261.
3
[4] J. Che, W. K. Nicholson, Y. Zhou, Group rings in which every element is uniquely the sum of a unit and idempotent. J. Algebra. 306 (2006), pp. 453-460.
4
[5] H. Chen, Morita contexts with many units. Comm. Algebra. 30 (3) (2002), pp. 1499-1512.
5
[6] A. J. Diesl, Classes of strongly clean rings. Ph.D. Thesis, University of California, Berkeley, (2006).
6
[7] A. Haghany, Hopcity and co-hopcity for Morita Contexts. Comm. Algebra. 27(1)(1999), pp. 477-492.
7
[8] W. K. Nicholson, Y. Zhou, Rings in which elements are uniquely the some of an idempotent and unit. Clasy. Math. J. 46(2004), pp. 227-236.
8
ORIGINAL_ARTICLE
A mathematically simple method based on denition for computing eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices
In this paper, a fundamentally new method, based on the denition, is introduced for numerical computation of eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. Some examples are provided to show the accuracy and reliability of the proposed method. It is shown that the proposed method gives other sequences than that of existing methods but they still are convergent to the desired eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. These examples show an interesting phenomenon in the procedure: The diagonal matrix that converges to eigenvalues gives them in decreasing order in the sense of absolute value. Appendices A to C provide Matlab codes that implement the proposed algorithms. They show that the proposed algorithms are very easy to program.
http://jlta.iauctb.ac.ir/article_510114_08524c96a88f2b589b9b2c9a46824457.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
71
81
Eigenvalue
Generalized eigenvalue
Quadratic eigenvalue
Numerical computation
Iterative method
M.
Nili Ahmadabadi
nili@phu.iaun.ac.ir
true
1
Department of Mathematics, Islamic Azad University, Najafabad Branch, Iran
Department of Mathematics, Islamic Azad University, Najafabad Branch, Iran
Department of Mathematics, Islamic Azad University, Najafabad Branch, Iran
LEAD_AUTHOR
[1] G.H. Golub, H.A. van der Vorst, Eigenvalue computation in the 20th century, J. Comput. Appl. Math., 123 (2000), pp. 35-65.
1
[2] N. Papathanasiou, P. Psarrakos, On condition numbers of polynomial eigenvalue problems, Appl. Math. Comput., 4 (2010), pp. 1194-205.
2
[3] J.E. Roman, M. Kammerer, F. Merz and F. Jenko, Fast eigenvalue calculations in a massively parallel plasma turbulence code, Parallel Computing, 5-6 (2010), pp. 339-58.
3
[4] D.S. Watkins, Understanding the QR Algorithm, SIAM Review, Vol. 24, No. 4. (Oct., 1982), pp. 427-440, Jstor.
4
[5] F. Gantmacher, The Theory of Matrices, Vols. I and II, Chelsea, New York, 1959.
5
[6] P. Lancaster, Lambda-Matrices and Vibrating Systems, Pergamon Press, Oxford, UK, 1969.
6
[7] R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, London, 1985.
7
[8] A. S. Householder, The Theory of Matrices in Numerical Analysis, Blaisdell Publishing Company, New York, 1964.
8
[9] Chen Gongning, Matrix Theory with Applications ,Higher Education Publishing House ,Beijing, 1990. (in Chinese)
9
[10] Zhang Xian and Gu Dunhe, A note on A. Brauer's theorem, Linear Algebra Appl., 196 (1994) pp. 163-174.
10
[11] A. Brauer, Limits for the characteristic roots of a matrix IV, Duke Math. J., 19 (1952) pp. 75-91.
11
[12] Tam Bit-shun,Yang Shangjun and Zhang Xiaodong, Invertibility of irreducible matrices, Linear Algebra Appl., 259 (1996) pp. 39-70.
12
[13] G. Bennet, V. Goodman, and C. M. Newman, Norm of random matrices, Pac. J. Math., 59 (1975) pp. 359-365.
13
[14] B. S. Kashin, On the mean value of certain function connected with the convergence of orthogonal series, Anal. Math., 4 (1978) pp. 27-35.
14
[15] B. S. Kashin, On properties of random matrices associated with unconditional convergence almost everywhere, Dokl. Akad. Nauk SSSR, 254 (1980) pp. 1322-1325.
15
[16] R. M. Megrabian, On a characteristic of random matrices connected with unconditional convergence almost everywhere, Anal. Math. 14 (1988) pp. 37-47.
16
[17] Y. Q. Yin, Z. D. Bai and P. R. Krishnaiah, On limit of the largest eigenvalue of the large dimensional sample covariance matrix, Center for Multivariate Analysis, Teclm. Report No. 84-44, University of Pittsburgh, Pittsburgh, PA. (1984).
17
[18] Z. D. Bai and Y. Q. Yin, Necessary and sucient conditions for almost sure convergence of the largest eigenvalue of Wigner matrix, Center for Multivariate Analysis, Techn. Report No. 87-05, University of Pittsburgh, Pittsburgh, PA (1987).
18
[19] S. Geman, A limit theorem for the norm of random matrices, Ann. Probab., 8, No. 2 (1980) pp. 252-261.
19
[20] K. W. Wachter, The strong limits of random matrix spectra for sample matrices of independent elements, Ann. Probab., 6, No. 1 (1978) pp. 1-18.
20
[21] V. L. Girko, Limit theorems for the sums of distribution functions of eigenvalues of random symmetric matrices, Ukr. Mat. Zh., 40, No. 1 (1989) pp. 23-29.
21
[22] V. L. Girko,Limit theorems for the distribution of the eigenvalues of random symmetric matrices, Teor. Veroyatn. Mat. Stat., 41 (1989) pp. 23-29.
22
[23] V. L. Girko, The Spectral Theory of Random Matrices [in Russian], Nauka, Moscow (1988).
23
[24] V. L. Girko, Limit theorems for the maximal and minimal eigenvalues of random symmetric matrices, Teor. Veroyatn. Primen., 35, No. 4 (1990) pp. 677-690.
24
[25] L. A. Pastur, Spectra of random self-adjoint operators, Usp. Mat. Nauk, 28, No. 1 (1973) pp. 3-63.
25
ORIGINAL_ARTICLE
Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation
In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreover, its asymptotic stability and statistical concepts like expectation and variance of solutions are discussed. Finally, the attained solutions of these S.D.E.s compared with exact solution of corresponding differential equations.
http://jlta.iauctb.ac.ir/article_510120_6b263c706914ad1317cfc87ee2468b82.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
83
95
Heun equation
Wiener process
Stochastic differential equation
Linear equations system
H. R.
Rezazadeh
h-rezazadeh@kiau.ac.ir
true
1
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313, Karaj, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313, Karaj, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313, Karaj, Iran
LEAD_AUTHOR
M.
Maghasedi
maghasedi@kiau.ac.ir
true
2
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313,
Karaj, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313,
Karaj, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313,
Karaj, Iran
AUTHOR
B.
shojaee
shoujaei@kiau.ac.ir
true
3
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313,
Karaj, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313,
Karaj, Iran
Department of Mathematics, Karaj Branch, Islamic Azad University, PO. Code 31485-313,
Karaj, Iran
AUTHOR
[1] L. Arnold, Stochastic Differential Equations: Theory and Applications, Wiley, (1974).
1
[2] D. J. Higham, An algorithmic introduction to numerical simulation of stochastic differ- ential equations, SIAM Review 43 (2001), 525–546.
2
[3] J. Lamperti, A simple construction of certain diffusion processes, J. Math. Kyoto (1964), 161–170.
3
[4] H. McKean, Stochastic Integrals, Academic Press, (1969).
4
[5] B. K. Oksendal, Stochastic Differential Equation with Applications, 4th ed., Springer (1995).
5
[10] S. Slavyanov, W. Lay.: Special Functions, A Unified Theory Based on Singularities, Oxford Univ. Press, Oxford.(2000).
6
[11] R.S. Borissov, P.P. Fiziev.: Exact Solutions of Teukolsky Master Equation with Continuous Spectrum. Bulg. J. Phys. 37 (2010) 65–89.
7
[12] P.P. Fiziev, Journal of Physics-Mathematical and Theoretical 43, 035203(2010).
8
[13] Slavyanov, S.Y., and Lay, W. Special Functions, A Unified Theory Based on Singularities. Oxford Mathematical Monographs, (2000).
9
[14] Ronveaux, A. ed. heun’s Differential Equations. Oxford University Press, (1995).
10
ORIGINAL_ARTICLE
A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems
In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.
http://jlta.iauctb.ac.ir/article_510116_a6a495230d02a7daa80f2a110513ba3b.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
97
113
Eigenvalue problem
inexact inverse iteration
subspace iteration
inner-outer iteration
approximation
Convergence
M.
Amirfakhrian
majiamir@yahoo.com
true
1
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
AUTHOR
F.
Mohammad
f.mohammad456@yahoo.com
true
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO.
Code 14168-94351, Iran
LEAD_AUTHOR
[1] J. Berns-Muler, I. G. Graham and A. Spence, Inexact inverse iteration for symmtric matrices, Linear Algebra Appl, 416 (2006), 389-413.
1
[2] J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst, Templates for the solution of algebraic eigenvalue problems: a practical guide, Philadelphia, PA, USA, 2000.
2
[3] M. A. Freitag, A. Spence, Convergence rates for inexact inverse iteration with application to preconditioned iterative solves, BIT, 47 (2007), 27-44.
3
[4] G. H. Golub and Q. Ye, Inexact inverse iterations for the generalized eigenvalue problems, BIT, 40 (1999), 672-684.
4
[5] G. H. Golub and C. F. Van loan, Matrix computation, Baltimore, MD, USA, 1989.
5
[6] G. H. Golub, Z. Zhang and H. Zha, Large sparse symmetric eigenvalue prob- lems with homogeneous linear constraints:the lanczos process with inner-outer iteration, Linear Algebra And Its Applications, 309 (2000), 289-306.
6
[7] Z. Jia, On convergence of the inexact rayleigh quotient iteration without and with minres, 2009.
7
[8] Y. Lai, K. Lin, W. Lin . An inexact inverse iteration for large sparse eigenvalue problems, Numerical Linear Algebra With Application, (1997), 425-437.
8
[9] R. B. Lehoucq and Karl Meerbergen, Using generalized cayley transformations within an inexact rational krylov sequence method, SIAM J. Matrix Anal. Appl., 20, 131-148.
9
[10] R. B. Morgan and D. S. Scott, Preconditioning the lanczos algorithm for sparse symmetric eigenvalue problems, SIAM J. Sci. Comput., 14 (1993), no. 3, 585-593.
10
[11] A. Ruhe, Rational krylov: A practical algorithm for large sparse nonsymmetric matrix pencils, SIAM J. Sci. Comput., 19 (1998), no. 5, 1535-1551.
11
[12] A. Ruhe And T. Wiberg, The method of conjugate gradients used in inverse iter- ation, BIT, 12 (1972), 543-554.
12
[13] P. Smit and M. H. C. Paardekooper, The eects of inexact solvers in algorithms for symmetric eigenvalue problems, Linear Algebra and its Applications, 287 (1999), 337-357.
13
[14] V. Simoncini and L. Eldn, Inexact rayleigh quotient-type methods for eigenvalue computations, BIT, 42 (2002), 159-182.
14
[15] G. Sleijpen and H. Van Der Vorst, A jacobi-davidson iteration method for linear eigenvalue problems, SIAM J. Matrix Anal. Appl., 17 (2000), 401-425.
15
[16] D. C. Sorensen and C. Yang, A truncated rq iteration for large scale eigenvalue calculations, SIAM J. Matrix Anal. Appl., 19 (1998), no. 4, 1045-1073.
16
[17] A. Stathopoulos, Y. Saad and F. Fischer, Robust preconditioning of large sparse symmetric eigenvalue problems, Journal of Computational and Applied Mathematics, 64 (1994), 197-215.
17
ORIGINAL_ARTICLE
Module-Amenability on Module Extension Banach Algebras
Let $A$ be a Banach algebra and $E$ be a Banach $A$-bimodule then $S = A \oplus E$, the $l^1$-direct sum of $A$ and $E$ becomes a module extension Banach algebra when equipped with the algebras product $(a,x).(a^\prime,x^\prime)= (aa^\prime, a.x^\prime+ x.a^\prime)$. In this paper, we investigate $\triangle$-amenability for these Banach algebras and we show that for discrete inverse semigroup $S$ with the set of idempotents $E_S$, the module extension Banach algebra $S=l^1(E_S)\oplus l^1(S)$ is $\triangle$-amenable as a $l^1(E_S)$-module if and only if $l^1(E_S)$ is amenable as Banach algebra.
http://jlta.iauctb.ac.ir/article_510118_44c07398e7938ba779119a240cd4cf23.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
111
114
Module-amenability
module extension
Banach algebras
D.
Ebrahimi bagha
dav.ebrahimibagha@iauctb.ac.ir
true
1
Department of Mathematics, Faculty of Science, Islamic Azad University, Centeral
Tehran Branch, P. O. Box 13185/768, Tehran, Iran
Department of Mathematics, Faculty of Science, Islamic Azad University, Centeral
Tehran Branch, P. O. Box 13185/768, Tehran, Iran
Department of Mathematics, Faculty of Science, Islamic Azad University, Centeral
Tehran Branch, P. O. Box 13185/768, Tehran, Iran
LEAD_AUTHOR
[1] M.Amini, Module amenability for semigroup algebras, semigroup forum 69 (2004) 243-254.
1
[2] M.Amini and D.Ebrahimi Bagha, Weak module amenability for semigroup algebras, Semigroup forum 71 (2005). 18-26.
2
[3] W.G.Bade, H.G.Dales and Z.A.Lykova, Algebraic and strong splittings of extensions of Banach algebras, Mem. Amer. Math. Soc. 137, no. 656, 1999.
3
[4] H.G. DALES, Banach algebras and automatic continuity, London Math. Soc. Monographs, Volume 24, Clarendon press, Oxford, 2000.
4
[5] H.G.Dales, F. Ghahramani and N-Gronbaek, Drivations into iterated duals of Banach algebras, studia Math. 128 (1998) 19-54.
5
[6] J.Duncan , I.Namioka, Amenability of inverse Semigroup and their Semigroup algebras, Procedings of the Royal Society of Edinburgh 80A (1975) 309-321.
6
[7] D.Ebrahimi Bagha and M.Amini. Module amenability for Banach modules. CUB. A math. Journal. 13, No.02, 127-137.
7
[8] B.E.Johnson,Cohomology in Banach algebras,Memoirs of the American Mathematical Sosiety No,127, American Mathematical Sosiety,Providence 1972.
8
[9] Y.Zhang, Weak Amenability of Module extension of Banach algebras, Traps-Amer-Math. Soc. 354(2002) 4131-4151.
9
ORIGINAL_ARTICLE
E-Clean Matrices and Unit-Regular Matrices
Let $a, b, k,\in K$ and $u, v \in U(K)$. We show for any idempotent $e\in K$, $(a 0|b 0)$ is e-clean iff $(a 0|u(vb + ka) 0)$ is e-clean and if $(a 0|b 0)$ is 0-clean, $(ua 0|u(vb + ka) 0)$ is too.
http://jlta.iauctb.ac.ir/article_510119_5c774e30071a0b38ec4b186ffdb5d653.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
115
118
Matrix ring
unimodular column
unit-regular
clean
e-clean
Sh. A.
Safari Sabet
true
1
Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code
14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code
14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code
14168-94351, Iran
AUTHOR
S.
Razaghi
true
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code
14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code
14168-94351, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,Code
14168-94351, Iran
LEAD_AUTHOR
[1] V.P. Camillo, D. Khurana, A characterization of unit-regular rings, Comm. Algebra 29(2001) 2293-2295.
1
[2] V.P. Camillo, H.P.Yu, Exchange rings, units and idempotents, Comm. Algebra 22(1994) 4737-4749.
2
[3] D. Khurana,T.Y. Lam, Clean matrices and unit-regular matrices, J. Algebra 280(2004) 683-698.
3
ORIGINAL_ARTICLE
Recognition of the group $G_2(5)$ by the prime graph
Let $G$ be a finite group. The prime graph of $G$ is a graph $\Gamma(G)$ with vertex set $\pi(G)$, the set of all prime divisors of $|G|$, and two distinct vertices $p$ and $q$ are adjacent by an edge if $G$ has an element of order $pq$. In this paper we prove that if $\Gamma(G)=\Gamma(G_2(5))$, then $G$ has a normal subgroup $N$ such that $\pi(N)\subseteq\{2,3,5\}$ and $G/N\equiv G_2(5)$.
http://jlta.iauctb.ac.ir/article_510117_39d0770b34588d7c09328c4a5e5401be.pdf
2012-06-01T11:23:20
2018-02-19T11:23:20
115
120
prime graph
recognition
linear group
P.
Nosratpour
p.nosratpour@ilam-iau.ac.ir
true
1
Department of mathematics, ILam Branch, Islamic Azad university, Ilam, Iran
Department of mathematics, ILam Branch, Islamic Azad university, Ilam, Iran
Department of mathematics, ILam Branch, Islamic Azad university, Ilam, Iran
LEAD_AUTHOR
M. R.
Darafsheh
true
2
School of Mathematics, statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
School of Mathematics, statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
School of Mathematics, statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
AUTHOR
[1] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford 1985.
1
[2] M.R.Darafsheh, Order of elements in the groups related to the general linear groups, Finite Fields Appl., 11, 738-747(2005).
2
[3] M.R.Darafsheh, Pure characterization of the projective special linear groups, Italian Journal of Pure and Applied Mathematics, No.23, 229-244(2008).
3
[4] M.R.Darafsheh and Y. Farjami, Calculating the set of elements in the nite linear groups, Journal of Discrete Mathematical Sciences, Vol.10, No.5, 637-653(2007).
4
[5] M.Hagie, The prime graph of a sporadic simple group, Comm.Alg., vol.31, No.9, 4405-4424(2003).
5
[6] G.Higman, Finite groups in which every element has prime power order, J.Landan Math. Soc., 32, 335-342(1957).
6
[7] B. Khosravi, Quasirecognition by prime graph of L10(2), Siberian Math.J., Vol.50, No.2, 355-359(2009).
7
[8] Behrooz Khosravi, Bahman Khosravi and Behnam Khosravi, A characterization of the nite simple group L16(2) by its prime graph, Manuscripta Math., 126, 49-58(2008).
8
[9] A.S.Kondratiev, On prime graph components for nite simple groups, Math.Sb., 180, No.6, 787-797(1989).
9
[10] M.S.Lusido and A.R.Moghaddamfar, Groups with complete prime graph connected components, Journal of Group theory, 31, 373-384(2004).
10
[11] V.D.Mazurov, M.C.Xu and H.P.Cao, Recognition of nite simple groups L3(2m) and U3(2m) by their element orders, Algebra Logika, 39, No.5, 567-585(2000).
11
[12] V.D.Mazurov, Recognition of nite simple groups S4(q) by their element orders, Algebra and Logic, Vol.41, No.2, 93-110(2002).
12
[13] V.D.Mazurov and G.Y.Chen, Recognisability of nite simple groups L4(2m) and U4(2m) by spectrum, Algebra and Logic, Vol.47, No.1, 49-55(2008).
13
[14] V.D.Mazurov, Characterization of nite groups by sets of element orders, Algebra and Logic, 36, No.1, 23-32(1997).
14
[15] D.S.Passman, Permutation groups, W.A.Benjamin Inc., New York, (1968).
15
[16] W.J.Shi and W.Z.Yang, A new characterization of A5 and the nite groups in which every non-identity element has prime order, J.Southwest China Teachers College(1984), 9-36(in chinese).
16
[17] A.V.Vasilev, On connection between the structure of a nite group and the properties of its prime graph, Siberian Math.J., 46, No.3, 396-404(2005).
17
[18] A.V.Vasilev and M.A.Grechkoseeva, On recognition by spectrum of nite simple linear groups over fields of characteristic 2, Siberian Math.J., Vol.46, No.4, 593-600(2005).
18
[19] J.S.Williams, Prime graph components of nite groups, J. Alg. 69, No.2,487-513(1981).
19
[20] A.V.Zavarnitsine, Recognition of nite groups by the prime graph, Algebra and Logic, Vol.45, No.4,(2006).
20
[21] A.V.Zavarnitsine, Finite simple groups with narrow prime spectrum, arXiv: 0810.0568v1(2008).
21