Article
Torsion homology and cellular approximation
Author/s | Flores Díaz, Ramón Jesús
Muro Jiménez, Fernando |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2019-02-06 |
Deposit Date | 2019-04-05 |
Published in |
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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. ... 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. |
Project ID. | MTM2010-20692
FQM-5713 MTM2010-15831 MTM2016-76453-C2-1-P |
Citation | Flores Díaz, R.J. y Muro Jiménez, F. (2019). Torsion homology and cellular approximation. Algebraic and Geometric Topology, 19, 457-476. |
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