Homology of even Artin kernels

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

doi:10.2140/agt.2022.22.349

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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

DOI: 10.2140/agt.2022.22.349

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.

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

Volume 22, issue 1 (2022)