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A note on the homology of hyperbolic groups
-
Matthias Neumann-Brosig
und
Gerhard Rosenberger
Veröffentlicht/Copyright:
21. September 2010
Abstract
Hyperbolic groups have been studied in various fields in mathematics. They appear in contexts as diverse as geometric group theory, function theory (as Fuchsian groups) and algebraic topology (as fundamental groups of compact hyperbolic surfaces). Hyperbolic groups possess geometrical properties well suited for the study of homological finiteness conditions. In this paper we will prove some of these results via free resolutions obtained from the Rips-complex.
Received: 2010-05-05
Published Online: 2010-09-21
Published in Print: 2010-December
© de Gruyter 2010
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Artikel in diesem Heft
- On asymptotic densities and generic properties in finitely generated groups
- On finite Thurston-type orderings of braid groups
- Subgroup conjugacy problem for Garside subgroups of Garside groups
- The Latin squares and the secret sharing schemes
- A note on the homology of hyperbolic groups
- Cutting up graphs revisited – a short proof of Stallings' structure theorem
- Some geodesic problems in groups
- Search and witness problems in group theory
- Algebraic attacks using SAT-solvers
Schlagwörter für diesen Artikel
Hyperbolic groups;
Rips-complex;
homology of groups;
Fuchsian groups
Artikel in diesem Heft
- On asymptotic densities and generic properties in finitely generated groups
- On finite Thurston-type orderings of braid groups
- Subgroup conjugacy problem for Garside subgroups of Garside groups
- The Latin squares and the secret sharing schemes
- A note on the homology of hyperbolic groups
- Cutting up graphs revisited – a short proof of Stallings' structure theorem
- Some geodesic problems in groups
- Search and witness problems in group theory
- Algebraic attacks using SAT-solvers
