Groupes de Coxeter finis: involutions et cubes

TL;DR

This paper reviews key properties of finite Coxeter groups, focusing on involutions and cubes, to facilitate applications in cohomological invariants.

Contribution

It provides a comprehensive review of involutions and cubes in finite Coxeter groups, highlighting their relevance for cohomological applications.

Findings

Characterization of involutions in finite Coxeter groups

Analysis of abelian subgroups generated by reflections

Implications for cohomological invariants

Abstract

We review the properties of the finite Coxeter groups which are most useful for applications to cohomological invariants, namely their classes of involutions and their "cubes" (abelian subgroups generated by reflections).