A new subgroup lattice characterization of finite solvable groups.

DOI10.1016/j.jalgebra.2011.10.032zbMath1252.20019arXiv1011.2503OpenAlexW2057231601MaRDI QIDQ427781

Russ Woodroofe, John Shareshian

Publication date: 18 June 2012

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

Full work available at URL: https://arxiv.org/abs/1011.2503

zbMATH Keywords

finite solvable groupschain lengthslattices of subgroupsmodular elementsmaximal chains

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30)

Related Items

The length and depth of algebraic groups, From the weak Bruhat order to crystal posets, Lattice characterization of some classes of groups by series of subgroups, Chains of modular elements and shellability, The depth of a finite simple group, Dominating sets in intersection graphs of finite groups, The length and depth of compact Lie groups, Lattices with normal elements, On the Lengths of Certain Chains of Subalgebras in Lie Algebras

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