On a graph related to permutability in finite groups

DOI10.1007/s10231-009-0124-7zbMath1221.05193OpenAlexW2093979579MaRDI QIDQ711454

John Cossey, Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 26 October 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/19002

zbMATH Keywords

soluble groupsfinite groupsgraphspermutability

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Some results on the join graph of finite groups ⋮ A graph related to the join of subgroups of a finite group. ⋮ Periodic linear groups in which permutability is a transitive relation ⋮ PLANARITY OF PERMUTABILITY GRAPHS OF SUBGROUPS OF GROUPS ⋮ Nonnilpotent subsets in the Suzuki groups ⋮ On the genus of a graph related to the join of subgroups of finite abelian group ⋮ On permutability graphs of subgroups of groups ⋮ N-critical graph of finite groups

Cites Work

• A generalization of prime graphs of finite groups
• Sylow permutable subnormal subgroups of finite groups
• Subgroup lattices of groups
• Power automorphisms of a group
• On a Commuting Graph on Conjugacy Classes of Groups
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• Endliche Gruppen I
• Finite soluble groups with permutable subnormal subgroups
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