A Fixed Point Theorem for Groups Acting on Finite 2-Dimensional Acyclic Simplicial Complexes

DOI10.1112/plms/s3-67.2.329zbMath0834.57022OpenAlexW2047234955MaRDI QIDQ4287045

Michael Aschbacher, Yoav Segev

Publication date: 3 May 1994

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-67.2.329

zbMATH Keywords

homologycomposition factorsgroups of Lie typefinite groupadmissible representationTits geometries\(\mathbb{Z}\)-acyclic complexes\(\sigma\)-acyclic complexesfinite two- dimensional simplicial complexfixed-point- free group of automorphismspolygon complexes

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20) Connections of group theory with homological algebra and category theory (20J99)

Related Items (3)

Acyclic 2-dimensional complexes and Quillen's conjecture ⋮ Fixed point free actions on \(\mathbb{Z}\)-acyclic 2-complexes. ⋮ Some remarks on finite 1-acyclic and collapsible complexes

This page was built for publication: A Fixed Point Theorem for Groups Acting on Finite 2-Dimensional Acyclic Simplicial Complexes