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arXiv · 1702.03585

Second mod $2$ homology of Artin groups

Toshiyuki Akita·Ye Liu
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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.

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Toshiyuki Akita, Ye Liu. 2017-02-12. Second mod $2$ homology of Artin groups. https://doi.org/10.2140/agt.2018.18.547

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