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Torsion homology and
cellular approximation
Ramón Flores and Fernando Muro |
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Algebraic & Geometric Topology 19 (2019) 457–476
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Abstract |
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We describe the role of the Schur multiplier in the structure of the –torsion of discrete groups. More concretely, we show how the knowledge of allows us to approximate many groups by colimits of copies of –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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Keywords
Torsion, homology, cellular, group
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Mathematical Subject Classification 2010
Primary: 20F99, 55P60
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References |
Publication
Received: 27 March 2018
Revised: 3 September 2018
Accepted: 11 September 2018
Published: 6 February 2019
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Authors |
| Ramón Flores | |
| Departamento de Matemáticas Facultad de Ciencias Universidad Autónoma de Madrid Madrid Spain |
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| Fernando Muro | |
| Facultad de Matemáticas Departamento de Álgebra Universidad de Sevilla Sevilla Spain |
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