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Second mod $2$ homology
of Artin groups
Toshiyuki Akita and Ye Liu |
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Algebraic & Geometric Topology 18 (2018) 547–568
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Abstract |
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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. |
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Keywords
Artin groups, Coxeter groups, group cohomology
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Mathematical Subject Classification 2010
Primary: 20F36, 20J06
Secondary: 20F55
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References |
Publication
Received: 19 February 2017
Revised: 28 June 2017
Accepted: 16 July 2017
Published: 10 January 2018
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Authors |
| Toshiyuki Akita | |
| Department of Mathematics Hokkaido University Sapporo 060-0810 Japan |
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| Ye Liu | |
| Department of Mathematics Hokkaido University Sapporo Japan |
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