Invariants cohomologiques mod 2 et invariants de Witt des groupes altern\'es

TL;DR

This paper determines the cohomological and Witt invariants of the alternating group $A_n$, providing new insights into their algebraic structure and invariants.

Contribution

It explicitly computes the cohomological and Witt invariants of the alternating groups, a novel contribution to the understanding of their algebraic properties.

Findings

Cohomological invariants of $A_n$ are characterized.

Witt invariants of $A_n$ are explicitly determined.

Provides a comprehensive description of invariants for alternating groups.

Abstract

We determine the cohomological invariants and the Witt invariants of the alternating group $A_n$.