Geodesic
Torsion homology and cellular approximation
Flores, Ramón1 ; Muro, Fernando2
1 Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Madrid, Spain
2 Facultad de Matemáticas, Departamento de Álgebra, Universidad de Sevilla, Sevilla, Spain
Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 457-476

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2019.19.457
Classification : 20F99, 55P60
Keywords: Torsion, homology, cellular, group

Flores, Ramón 1 ; Muro, Fernando 2

1 Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Madrid, Spain
2 Facultad de Matemáticas, Departamento de Álgebra, Universidad de Sevilla, Sevilla, Spain 
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Flores, Ramón; Muro, Fernando. Torsion homology and cellular approximation. Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 457-476. doi: 10.2140/agt.2019.19.457

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