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Bulletin of the London Mathematical Society
Article . 2025 . Peer-reviewed
License: CC BY
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arXiv.org e-Print Archive
Preprint . 2025
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2025
License: arXiv Non-Exclusive Distribution
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Simple groups with strong fixed‐point properties

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Oct 2025Embargo end date: 01 Jan 2025 English Publisher:WileyJournal:Bulletin of the London Mathematical Society (issn: 0024-6093, eissn: 1469-2120, Copyright policy )
Authors: Nansen Petrosyan;

doi: 10.1112/blms.70211 , 10.48550/arxiv.2505.15761

arXiv: 2505.15761

Simple groups with strong fixed‐point properties

Abstract

AbstractWe 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.

Related Organizations
Keywords

Algebraic Topology, Group Theory, Geometric Topology, FOS: Mathematics, Algebraic Topology (math.AT), Geometric Topology (math.GT), Group Theory (math.GR)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
hybrid