#### Volume 19, issue 1 (2019)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Torsion homology and cellular approximation

### Ramón Flores and Fernando Muro

Algebraic & Geometric Topology 19 (2019) 457–476
##### 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.

##### Keywords
Torsion, homology, cellular, group
##### Mathematical Subject Classification 2010
Primary: 20F99, 55P60