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2019 Torsion homology and cellular approximation
Ramón Flores, Fernando Muro
Algebr. Geom. Topol. 19(1): 457-476 (2019). DOI: 10.2140/agt.2019.19.457

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 H 2 G 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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Ramón Flores. Fernando Muro. "Torsion homology and cellular approximation." Algebr. Geom. Topol. 19 (1) 457 - 476, 2019. https://doi.org/10.2140/agt.2019.19.457

Information

Received: 27 March 2018; Revised: 3 September 2018; Accepted: 11 September 2018; Published: 2019
First available in Project Euclid: 12 February 2019

zbMATH: 07053579
MathSciNet: MR3910586
Digital Object Identifier: 10.2140/agt.2019.19.457

Subjects:
Primary: 20F99, 55P60

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 1 • 2019
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