THE SECOND INTEGRAL HOMOLOGY OF EVEN ARTIN GROUPS

Kyushu Journal of Mathematics 2026 Open access

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Authors: Toshiyuki Akita
DOI: 10.2206/kyushujm.80.351
Cited by: 0

Abstract

In this paper, we compute the second integral homology of even Artin groups using Hopf's formula.We then apply our results to the computation of cup products and Pontryagin products on even Artin groups, as well as to the second integral homology of even Coxeter groups.

Fields of Study & Subjects

Geometric and Algebraic Topology Homotopy and Cohomology in Algebraic Topology Algebraic Geometry and Number Theory

Publication details

Journal / source
Kyushu Journal of Mathematics
Volume
80
Issue
2
Pages
351–361
Publication date
1 January 2026
Language
EN