On the partially ordered set of nilpotent subgroups of a finite group

DOI10.1080/00927879508825312zbMath0831.20021OpenAlexW2084735051MaRDI QIDQ4834877

Maria Silvia Lucido

Publication date: 6 February 1996

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879508825312

zbMATH Keywords

Möbius functionsoluble groupsconnected componentsEuler characteristicsimplicial complexorder complexhomotopy equivalencefinite partially ordered setsprime graphFitting subgroupsubnormalityposets of subgroupsposet of nilpotent subgroups of finite groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Combinatorics of partially ordered sets (06A07) Subnormal subgroups of abstract finite groups (20D35) Abstract complexes in algebraic topology (55U05)

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Cites Work

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