Contractibility of the orbit space of the 𝑝-subgroup complex via Brown-Forman discrete Morse theory

DOI10.1090/proc/16688arXiv2303.07882OpenAlexW4387528553MaRDI QIDQ6142608

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Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2303.07882

zbMATH Keywords

discrete Morse theorysubgroup complexesWebb conjecture

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Group actions on combinatorial structures (05E18)

Cites Work

• Webb's conjecture for fusion systems.
• Homotopy equivalence of posets with a group action
• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• The orbit space of the \(p\)-subgroup complex is contractible
• Morse theory and finiteness properties of groups
• Morse theory for cell complexes
• On discrete Morse functions and combinatorial decompositions
• The orbit space of a fusion system is contractible
• Some Remarks on a Conjecture of Alperin
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