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Torsion homology and cellular approximation


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Author: Flores Díaz, Ramón Jesús
Muro Jiménez, Fernando
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2019-02-06
Published in: Algebraic and Geometric Topology, 19, 457-476.
Document type: Article
Abstract: We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we show how the knowledge of H2G allows us to approximate many groups by colimits of copies of p-groups. Our examples include interesting families of noncommutative infinite groups, including Burnside groups, certain solvable groups and branch groups. We also provide a counterexample for a conjecture of Emmanuel Farjoun.
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DOI: 10.2140/agt.2019.19.457

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