Topology of subgroup lattices of symmetric and alternating groups.

DOI10.1016/S0097-3165(03)00138-9zbMath1040.20019OpenAlexW2171488644MaRDI QIDQ1417954

John Shareshian

Publication date: 6 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0097-3165(03)00138-9

zbMATH Keywords

symmetric groupshomologyorder complexesposetsalternating groupssubgroup latticespartition latticeshomotopy types

Mathematics Subject Classification ID

Related Items (3)

Euler characteristics and Möbius algebras of \(p\)-subgroup categories. ⋮ Equivariant Euler characteristics of subgroup complexes of symmetric groups ⋮ Hypergraph matching complexes and Quillen complexes of symmetric groups.

Cites Work

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• Homotopy type of posets and lattice complementation
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• Links in the complex of separable graphs
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• The MÖBius Function of Psl₂ (q ), with Application to the Maximal Normal Subgroups of the Modular Group
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• THE EULERIAN FUNCTIONS OF A GROUP

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