On a conjecture of Webb

DOI10.1007/BF01191872zbMath0714.20012OpenAlexW1564391209WikidataQ123347086 ScholiaQ123347086MaRDI QIDQ750608

Jacques Thévenaz

Publication date: 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191872

zbMATH Keywords

finite groupfusionp-solvableSylow p-subgroupchains of p-subgroupsorbit complexsimplicial complex of chains

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30) Combinatorics of partially ordered sets (06A07) Homological methods in group theory (20J05) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

On the poset of conjugacy classes of subgroups of π-power index ⋮ Equivariant \(K\)-theory and Alperin's conjecture

Cites Work

• Unnamed Item
• On group homomorphisms inducing mod-\(p\) cohomology isomorphisms
• A split exact sequence of Mackey functors
• Homotopy equivalence of posets with a group action
• Projectives in Burnside rings, projectives in Green rings, and generalized Steinberg modules.
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• A local method in group cohomology
• Some Remarks on a Conjecture of Alperin