Overgroups of second maximal subgroups

DOI10.1007/BF01198080zbMath0827.20026MaRDI QIDQ1805510

Flavell, Paul

Publication date: 4 December 1995

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

zbMATH Keywords

finite groupssecond maximal subgroupsintervals in subgroup latticesnumber of maximal subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Representation theory of lattices (06B15)

Related Items (8)

The influence of second maximal subgroups on the generalized p-solvability of finite groups ⋮ Finite groups with generalized ℙ-subnormal second maximal subgroups ⋮ Groups covered by finitely many cosets or subgroups ⋮ Generating finite groups with conjugates of a subgroup ⋮ Finite groups with subnormal second or third maximal subgroups. ⋮ On critical conditions of overgroups of weak second maximal subgroups ⋮ OVERGROUPS OF WEAK SECOND MAXIMAL SUBGROUPS ⋮ Weak second maximal subgroups in solvable groups

Cites Work

• Unnamed Item
• \(M_ 7\) as an interval in a subgroup lattice
• An interval in the subgroup lattice of a finite group which is isomorphic to \(M_ 7\)
• On Feit's examples of intervals in subgroup lattices
• On imprimitive groups with small degree
• Representation of certain lattices as intervals in subgroup lattices
• Intervals in subgroup lattices of finite groups

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