Simple groups with strong fixed‐point properties

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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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-10-09
DOI
https://doi.org/10.1112/blms.70211
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Simple groups with strong fixed‐point properties

Nansen Petrosyan
Bulletin of the London Mathematical Society
Geometric and Algebraic Topology
article

Simple groups with strong fixed‐point properties

Nansen Petrosyan
article en

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 58(1)
University of Southampton (GB)
Openalex Percentile: Top 66%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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Simple groups with strong fixed‐point properties — Nansen Petrosyan · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS