The top homology of the lattice of subgroups of a soluble group

DOI10.1016/S0012-365X(85)80005-4zbMath0568.20048MaRDI QIDQ1060296

Jacques Thévenaz

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

simplicial complexchief serieshomology typelattice of subgroups of a finite group

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Equivariant homotopy of posets and some applications to subgroup lattices, Permutation representations arising from simplicial complexes, Shelling the coset poset., Chains of modular elements and shellability, An 𝐸𝐿-labeling of the subgroup lattice, On the shellability of the order complex of the subgroup lattice of a finite group, Symmetric products and subgroup lattices, A broad class of shellable lattices

Cites Work

• Fonction de Möbius d'un groupe fini et anneau de Burnside. (Möbius function of a finite group and the Burnside ring)
• Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini. (Homotopy type of lattices and lattices of subgroups of a finite groups)
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• A homotopy complementation formula for partially ordered sets
• Discrete Series of GLn Over a Finite Field. (AM-81)
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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