Conjectures on the anti-automorphism of Z-basis of the Steenrod algebra

Subject Areas : Algebraic topology

T.  Vergili ¹ (Department of Mathematics, Faculty of Science, Karadeniz Technical University, Trabzon, Turkey)
I.  Karaca ² (Department of Mathematics, Faculty of Science, Ege University, Izmir, Turkey)

Received: 2020-05-13 Accepted : 2021-03-11 Published : 2021-03-01

Keywords: Steenrod algebra, cohomology operations, Hopf algebra, conjugation map,

Abstract :

In this paper, we compute the images of some of the $Z$-basis elements under the anti-automorphism map $\chi$ of the mod 2 Steenrod algebra $\mathcal{A}_2$ and propose some conjectures based on our computations.

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