On the X basis in the Steenrod algebra

Subject Areas : Algebraic topology

N. D. Turgay ¹

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

Received: 2018-10-30 Accepted : 2019-01-05 Published : 2019-12-01

Keywords: Steenrod algebra, monomial basis, Arnon basis, Wall basis,

Abstract :

‎Let $\mathcal{A}_p$ be the mod $p$ Steenrod algebra‎, ‎where $p$ is an odd prime‎, ‎and let $\mathcal{A}$ be the‎subalgebra $\mathcal{A}$ 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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