Second mod $2$ homology of Artin groups

Toshiyuki Akita; Ye Liu

arxiv: 1702.03585 · v1 · pith:RDG2FLBZnew · submitted 2017-02-12 · 🧮 math.AT · math.GR

Second mod 2 homology of Artin groups

Toshiyuki Akita , Ye Liu This is my paper

classification 🧮 math.AT math.GR

keywords homologysecondartingroupgroupsintegralarbitraryassuming

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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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Second mod 2 homology of Artin groups

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