Equivariant homotopy of posets and some applications to subgroup lattices

DOI10.1016/0097-3165(95)90107-8zbMath0834.05063OpenAlexW2017658521MaRDI QIDQ1344230

Volkmar Welker

Publication date: 31 March 1996

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90107-8

zbMATH Keywords

posethomotopy typesimplicial complexpartially ordered settopological spaceequivariant homotopysubgroup latticehomotopy equivalent

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11)

Related Items

Combinatorial properties of intervals in finite solvable groups ⋮ On the Möbius number of the subgroup lattice of the symmetric group ⋮ Equivariant Euler characteristics of subgroup complexes of symmetric groups ⋮ Equivariant collapses and the homotopy type of iterated clique graphs ⋮ New approach to the groups \(H_* (\Sigma_n, \text{Lie}_n)\) by the homology theory of the category of functors ⋮ A characterization of solvability for finite groups in terms of their frame. ⋮ The category of G-posets ⋮ On the topology of two partition posets with forbidden block sizes ⋮ The combinatorics and the homology of the poset of subgroups of \(p\)-power index

Cites Work

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