Geodesic
Subalgebras of the $\mathbb{Z}/2$-equivariant Steenrod algebra
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 281-305.

Voir la notice de l'article provenant de la source International Press of Boston

The aim of this paper is to study subalgebras of the $\mathbb{Z}/2$- equivariant Steenrod algebra (for cohomology with coefficients in the constant Mackey functor $\underline{\mathbb{F}_2}$) that come from quotient Hopf algebroids of the $\mathbb{Z}/2$-equivariant dual Steenrod algebra. In particular, we study the equivariant counterpart of profile functions, exhibit the equivariant analogues of the classical $\mathcal{A}(n)$ and $\mathcal{E}(n)$, and show that the Steenrod algebra is free as a module over these.
DOI : 10.4310/HHA.2015.v17.n1.a14
Classification : 55S10, 55S91
Keywords: cohomology operation, Hopf algebroid, equivariant Steenrod algebra 
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Nicolas Ricka. Subalgebras of the $\mathbb{Z}/2$-equivariant Steenrod algebra. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 281-305. doi : 10.4310/HHA.2015.v17.n1.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a14/

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