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2018 Second mod $2$ homology of Artin groups
Toshiyuki Akita, Ye Liu
Algebr. Geom. Topol. 18(1): 547-568 (2018). DOI: 10.2140/agt.2018.18.547

Abstract

In this paper, we compute the second mod 2 homology of an arbitrary Artin group, without assuming the K ( π , 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. "Second mod $2$ homology of Artin groups." Algebr. Geom. Topol. 18 (1) 547 - 568, 2018. https://doi.org/10.2140/agt.2018.18.547

Information

Received: 19 February 2017; Revised: 28 June 2017; Accepted: 16 July 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 06828013
MathSciNet: MR3748252
Digital Object Identifier: 10.2140/agt.2018.18.547

Subjects:
Primary: 20F36, 20J06
Secondary: 20F55

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 1 • 2018
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