A note on the index complex of a maximal subgroup

DOI10.1007/BF01188517zbMath0665.20008MaRDI QIDQ1115963

W. E. Deskins

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

maximal subgroupscompletionsintersectionsavoiding abelian sectionsindex complexmaximal normal solvable subgroups

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)

Related Items (15)

On saturated formations, theta-pairs and completions in finite groups ⋮ On \(\mathcal F\)-abnormal maximal subgroups of finite groups. ⋮ On Deskins's conjecture ⋮ On Deskins's conjecture concerning the supersolvability of a finite group ⋮ On the index complex of a maximal subgroup and the supersolvability of a finite group^∗ ⋮ On maximal subgroups of finite groups and theta pairs ⋮ The index complex of a maximal subalgebra of a Lie algebra ⋮ On ϕ-ideals and the structure of Lie algebras ⋮ On theta pairs and theta completions for proper subalgebras in Leibniz algebras ⋮ On the Deskins Index Complex of a Maximal Subgroup of a Finite Group ⋮ On the deskins completions and theta completions for maximal subgroups^∗ ⋮ Influence of the Strong Theta Completions on Finite Groups ⋮ On the desking completions, theta completions and theta pairs for maximal subgroups^* ⋮ On the deskins completions, theta completions and theta pairs for maximal subgroups II^* ⋮ On the Deskins index complex of a maximal subgroup of a finite group

Cites Work

• Classes of finite groups and their properties
• On the intersection of a class of maximal subgroups of a finite group. II
• The normal index of maximal subgroups in finite groups
• On the Intersection of a Family of Maximal Subgroups Containing the Sylow Subgroups of a Finite Group
• Unnamed Item

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