Second mod $2$ homology of Artin groups

Abstract

In this paper, we compute the second mod $2$ homology of an arbitrary Artin group, without assuming the $K(\pi ,1)$ conjecture. The key ingredients are (A) Hopf's formula for the second integral homology of a group and (B) Howlett's result on the second integral homology of Coxeter groups.

22 pages

References in corpus (1)

• Homological stability for families of Coxeter groups

Cited by in corpus (2)

• The minimal genus problem for right angled Artin groups
• The space of non-extendable quasimorphisms