Second mod $2$ homology of Artin groups
Algebraic Topology
2018-03-16 v1 Group Theory
Abstract
In this paper, we compute the second mod homology of an arbitrary Artin group, without assuming the 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.
Keywords
Cite
@article{arxiv.1702.03585,
title = {Second mod $2$ homology of Artin groups},
author = {Toshiyuki Akita and Ye Liu},
journal= {arXiv preprint arXiv:1702.03585},
year = {2018}
}
Comments
22 pages