Second mod $2$ homology of Artin groups

Autor: Akita, Toshiyuki, Liu, Ye
Rok vydání: 2017
Předmět:
Zdroj: Algebr. Geom. Topol. 18 (2018) 547-568
Druh dokumentu: Working Paper
DOI: 10.2140/agt.2018.18.547
Popis: 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.
Comment: 22 pages
Databáze: arXiv