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.

Publication Details

Journal
ArXiv.org
Published
2025-05-21
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Simple groups with strong fixed-point properties

ArXiv.org
Geometric and Algebraic Topology
article

Simple groups with strong fixed-point properties

article en

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.

ArXiv.org
Openalex Percentile: Top 42%
Geometric and Algebraic Topology
Open Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Simple groups with strong fixed-point properties · ArXiv.org (2025) | TGRS Research Map | TGRS