On the X basis in the Steenrod algebra

Document Type: Research Paper

Author

Department of Mathematics‎, ‎Faculty of Arts and Sciences‎, ‎Eastern Mediterranean University‎, ‎Famagusta‎, ‎North Cyprus Via Mersin 10‎, ‎Turkey

Abstract

‎Let $\mathcal{A}_p$ be the mod $p$ Steenrod algebra‎, ‎where $p$ is an odd prime‎, ‎and let $\mathcal{A}$ be the‎ subalgebra $\mathcal{A}$ of $\mathcal{A}_p$ generated by the Steenrod $p$th powers‎. ‎We generalize the $X$-basis in $\mathcal{A}$ to $\mathcal{A}_p$‎.

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