Geodesic
Second mod 2 homology of Artin groups
Akita, Toshiyuki1 ; Liu, Ye2
1 Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan
2 Department of Mathematics, Hokkaido University, Sapporo, Japan
Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 547-568

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2018.18.547
Classification : 20F36, 20J06, 20F55
Keywords: Artin groups, Coxeter groups, group cohomology

Akita, Toshiyuki 1 ; Liu, Ye 2

1 Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan
2 Department of Mathematics, Hokkaido University, Sapporo, Japan 
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Akita, Toshiyuki; Liu, Ye. Second mod 2 homology of Artin groups. Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 547-568. doi: 10.2140/agt.2018.18.547

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