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Simple groups with strong fixed-point properties

Simple groups with strong fixed-point properties
Simple groups with strong fixed-point properties
We exhibit finitely generated torsion-free groups for which any action on any finite-dimensional CW-complex with finite Betti numbers has a global fixed point.
0024-6093
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6

Petrosyan, Nansen (2025) Simple groups with strong fixed-point properties. Bulletin of the London Mathematical Society. (doi:10.1112/blms.70211).

Record type: Article

Abstract

We exhibit finitely generated torsion-free groups for which any action on any finite-dimensional CW-complex with finite Betti numbers has a global fixed point.

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Bulletin of London Math Soc - 2025 - Petrosyan - Simple groups with strong fixed‐point properties - Version of Record
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More information

Accepted/In Press date: 24 September 2025
e-pub ahead of print date: 9 October 2025

Identifiers

Local EPrints ID: 506261
URI: http://eprints.soton.ac.uk/id/eprint/506261
ISSN: 0024-6093
PURE UUID: 0848e5f7-08cb-4f6c-a89e-1a618f9f57c4
ORCID for Nansen Petrosyan: ORCID iD orcid.org/0000-0002-2768-5279

Catalogue record

Date deposited: 31 Oct 2025 17:40
Last modified: 01 Nov 2025 02:45

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