Steenrod operations on the modular invariants

TL;DR

This paper computes how mod p Steenrod operations act on modular invariants of linear groups for odd primes, advancing understanding in algebraic topology and modular invariant theory.

Contribution

It provides explicit calculations of Steenrod operations on modular invariants, a novel contribution to the understanding of algebraic structures in topology.

Findings

Explicit formulas for Steenrod operations on modular invariants

Enhanced understanding of algebraic structures in topology

New computational methods for modular invariant analysis

Abstract

In this paper, we compute the action of the mod $p$ Steenrod operations on the modular invariants of the linear groups with $p$ an odd prime number.