Equivariant Euler characteristics of subgroup complexes of symmetric groups

DOI10.1007/s00026-022-00630-2OpenAlexW4311832378MaRDI QIDQ2694457

Zhipeng Duan

Publication date: 3 April 2023

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-022-00630-2

zbMATH Keywords

symmetric groupssubgroup complexesequivariant Euler characteristics

Mathematics Subject Classification ID

Partitions of sets (05A18) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Group actions on combinatorial structures (05E18)

Cites Work

• Equivariant Euler characteristics of partition posets
• On equivariant Euler characteristics
• 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)
• Permutation representations arising from simplicial complexes
• Homotopy equivalence of posets with a group action
• Equivariant homotopy of posets and some applications to subgroup lattices
• On the Möbius number of the subgroup lattice of the symmetric group
• Generalized orbifold Euler characteristics of symmetric orbifolds and covering spaces
• Topology of subgroup lattices of symmetric and alternating groups.
• Equivariant \(K\)-theory and Alperin's conjecture
• A homotopy complementation formula for partially ordered sets
• Equivariant elliptic homology and finite groups
• Equivariant Euler characteristics of unitary buildings
• Equivariant Euler characteristics of subspace posets
• Generalized group characters and complex oriented cohomology theories
• The Möbius function of a lattice
• Generalized orbifold Euler characteristic of symmetric products and equivariant Morava \(K\)-theory

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