Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups

zbMath1358.20015MaRDI QIDQ315850

Nobuo Iiyori, Masato Sawabe

Publication date: 26 September 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1470413987

zbMATH Keywords

subgroupposetsymmetric groupsimplicial complexchainfinite grouphomotopy equivalence

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Homological methods in group theory (20J05) Chains and lattices of subgroups, subnormal subgroups (20E15) Finite nilpotent groups, (p)-groups (20D15) Simplicial sets and complexes in algebraic topology (55U10) Subgroups of symmetric groups (20B35)

Related Items (2)

Partially ordered sets of non-trivial nilpotent \(\pi\)-subgroups. II. ⋮ Quiver representations of extended subgroup posets of finite groups

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