ON A GRAPH RELATED TO THE MAXIMAL SUBGROUPS OF A GROUP

DOI10.1017/S0004972709000951zbMath1196.20037MaRDI QIDQ3552490

Patrizia Longobardi, Marcel Herzog, Mercede Maj

Publication date: 22 April 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

maximal subgroupssolvable groupssimple groupsprime graphsmaximal graphs

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Simple groups (20E32) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (10)

Some results on the join graph of finite groups ⋮ The clique number of the intersection graph of a finite group ⋮ The non-commuting, non-generating graph of a non-simple group ⋮ Graphs defined on groups ⋮ On the diameter of the intersection graph of a finite simple group ⋮ Planarity of the intersection graph of subgroups of a finite group ⋮ The intersection graph of a finite simple group has diameter at most 5 ⋮ Finite groups with regular join graph of subgroups ⋮ On the genus of a graph related to the join of subgroups of finite abelian group ⋮ N-critical graph of finite groups

Cites Work

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• A note on finite simple groups with abelian Sylow \(p\)-subgroups.
• Prime graph components of finite groups
• Finite soluble groups
• Non-Abelian Sylow subgroups of finite groups of even order
• The diameter of the prime graph of a finite group

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