Acyclic 2-dimensional complexes and Quillen's conjecture

DOI10.5565/PUBLMAT6512104zbMath1501.20007arXiv1907.02141OpenAlexW3110110847WikidataQ122875600 ScholiaQ122875600MaRDI QIDQ2232001

Antonio Viruel, Iván Sadofschi Costa, Kevin Iván Piterman

Publication date: 1 October 2021

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02141

zbMATH Keywords

\(p\)-subgroupsQuillen's conjecture

Mathematics Subject Classification ID

Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Homological methods in group theory (20J05) Finite transformation groups (57S17) Fixed points and coincidences in algebraic topology (55M20) Group actions on manifolds and cell complexes in low dimensions (57M60) Finite simple groups and their classification (20D05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (2)

A geometric approach to Quillen's conjecture ⋮ An approach to Quillen’s conjecture via centralisers of simple groups

Cites Work

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• On a conjecture of Quillen and a lemma of Robinson
• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• On Quillen's conjecture for the \(p\)-groups complex
• On finite groups acting on acyclic complexes of dimension two
• Fixed point free actions on \(\mathbb{Z}\)-acyclic 2-complexes.
• Algebraic topology of finite topological spaces and applications
• A Fixed Point Theorem for Groups Acting on Finite 2-Dimensional Acyclic Simplicial Complexes

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