On Quillen's conjecture for \(p\)-solvable groups

DOI10.1016/j.jalgebra.2018.07.027zbMath1401.20022arXiv1604.01922OpenAlexW2963554316WikidataQ123274986 ScholiaQ123274986MaRDI QIDQ1786464

Antonio Díaz Ramos

Publication date: 24 September 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01922

zbMATH Keywords

simplicial complexesgroup theoryQuillen's conjectureQuillen's poset

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Homological methods in group theory (20J05) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15) Simplicial sets and complexes in algebraic topology (55U10) Products of subgroups of abstract finite groups (20D40)

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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• Homotopy properties of the poset of nontrivial p-subgroups of a group
• On Quillen's conjecture for the \(p\)-groups complex
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• On the Poset of p -SUBGROUPS of a p -SOLVABLE GROUP
• The classification of the finite simple groups

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