scientific article; zbMATH DE number 1563402

zbMath0986.20022MaRDI QIDQ4761440

Volkmar Welker, Jürgen Pulkus

Publication date: 8 November 2001

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zbMATH Keywords

finite solvable groupshomology groupsnormal \(p\)-subgroupshomotopy typescontractible complexes\(p\)-subgroup complexeswedge decompositions

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Homotopy equivalences in algebraic topology (55P10) Homological methods in group theory (20J05) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (8)

Endotrivial modules for finite groups via homotopy theory ⋮ Elementary Abelian subgroups in \(p\)-groups with a cyclic derived subgroup. ⋮ On the homotopy type of the Quillen complex of finite soluble groups ⋮ Finite solvable groups whose Quillen complex is Cohen-Macaulay. ⋮ Hypergraph matching complexes and Quillen complexes of symmetric groups. ⋮ An approach to Quillen’s conjecture via centralisers of simple groups ⋮ The fundamental group of the p‐subgroup complex ⋮ Counterexamples to a fiber theorem

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