Second mod 2 homology of artin groups

Toshiyuki Akita, Ye Liu

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In this paper, we compute the second mod 2 homology of an arbitrary Artin group, without assuming the K(π, 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.

Original languageEnglish
Pages (from-to)547-568
Number of pages22
JournalAlgebraic and Geometric Topology
Issue number1
Publication statusPublished - 10 Jan 2018
Externally publishedYes


  • Artin groups
  • Coxeter groups
  • Group cohomology

Cite this