The $\mathbb{Z}/p$-equivariant dual Steenrod algebra for an odd prime $p$

TL;DR

This paper provides a comprehensive calculation of the RO(ℤ/p)-graded coefficients of the equivariant dual Steenrod algebra for an odd prime p, advancing understanding in equivariant stable homotopy theory.

Contribution

It offers the first complete computation of the RO(ℤ/p)-graded coefficients for the dual Steenrod algebra with constant Mackey functor, filling a key gap in equivariant algebraic topology.

Findings

Complete calculation of RO(ℤ/p)-graded coefficients

Explicit description of the equivariant dual Steenrod algebra

Advances in understanding equivariant stable homotopy groups

Abstract

We completely calculate the $RO(\mathbb{Z}/p)$-graded coefficients $H\underline{\mathbb{Z}/p}_\star H\underline{\mathbb{Z}/p}$ for the constant Mackey functor $\underline{\mathbb{Z}/p}$.