Second mod $2$ homology of Artin groups

Published 12 Feb 2017 in math.AT and math.GR | (1702.03585v1)

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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