Hyperbolicity and bounded-value cohomology
Hyperbolicity and bounded-value cohomology
We generalise a theorem of Gersten on surjectivity of the restriction map in ℓ∞-cohomology of groups. This leads to applications on subgroups of hyperbolic groups, quasi-isometric distinction of finitely generated groups and ℓ∞-cohomology calculations for some well-known classes of groups. Along the way, we obtain hyperbolicity criteria for groups of type FP2(Q) and for those satisfying a rational homological linear isoperimetric inequality, answering a question of Arora and Martínez-Pedroza.
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Vankov, Vladimir
dd4ebea0-800e-4d03-b1a6-b69388122a12
15 June 2023
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Vankov, Vladimir
dd4ebea0-800e-4d03-b1a6-b69388122a12
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(Working Paper)
Abstract
We generalise a theorem of Gersten on surjectivity of the restriction map in ℓ∞-cohomology of groups. This leads to applications on subgroups of hyperbolic groups, quasi-isometric distinction of finitely generated groups and ℓ∞-cohomology calculations for some well-known classes of groups. Along the way, we obtain hyperbolicity criteria for groups of type FP2(Q) and for those satisfying a rational homological linear isoperimetric inequality, answering a question of Arora and Martínez-Pedroza.
Text
2211.15575
- Author's Original
Available under License Other.
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Published date: 15 June 2023
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Local EPrints ID: 485969
URI: http://eprints.soton.ac.uk/id/eprint/485969
PURE UUID: a71b306d-4a11-423d-b637-5886a5fbd597
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Date deposited: 04 Jan 2024 17:32
Last modified: 18 Mar 2024 03:27
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