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Homology of even Artin kernels

Rubén Blasco-García, José Ignacio Cogolludo-Agustín and Conchita Martínez-Pérez

Algebraic & Geometric Topology 22 (2022) 349–372
Abstract

We explicitly compute the homology groups with coefficients in a field of characteristic zero of cocyclic subgroups or even Artin groups of FC type. We also give some partial results in the case when the coefficients are taken in a field of prime characteristic.

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Keywords
Artin groups, Artin kernels
Mathematical Subject Classification
Primary: 20F24, 20F36
Secondary: 55P20, 57M07
References
Publication
Received: 15 July 2020
Revised: 17 January 2021
Accepted: 21 February 2021
Published: 26 April 2022
Authors
Rubén Blasco-García
Departamento de Matemáticas, IUMA
Universidad de Zaragoza
Zaragoza
Spain
José Ignacio Cogolludo-Agustín
Departamento de Matemáticas, IUMA
Universidad de Zaragoza
Zaragoza
Spain
Conchita Martínez-Pérez
Departamento de Matemáticas
Universidad de Zaragoza
Zaragoza
Spain