A lattice theoretic characterization of prefrattini subgroups

DOI10.1007/BF02568498zbMath0691.20016OpenAlexW2028112503MaRDI QIDQ582388

Hans Kurzweil, Peter Hauck

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155474

zbMATH Keywords

latticesubgroupsminimal elementscomplementedfinite solvable groupprefrattini subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45)

Related Items (3)

Combinatorial properties of intervals in finite solvable groups ⋮ On the poset of conjugacy classes of subgroups of π-power index ⋮ Complements of intervals and prefrattini subalgebras of solvable Lie algebras

Cites Work

• A combinatorial technique for simplicial complexes and some applications to finite groups
• Pre-Frattini groups.
• Die Praefrattinigruppe im Intervall eines Untergruppenverbandes. (The prefrattini group in the interval of a subgroup lattice)

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