On the diameter of the intersection graph of a finite simple group

DOI10.1007/s10587-016-0261-2zbMath1389.05072OpenAlexW2467003932MaRDI QIDQ5739698

Xuan Long Ma

Publication date: 19 July 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145729

zbMATH Keywords

intersection graphdiameterfinite simple group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12)

Related Items (8)

Thickness of the subgroup intersection graph of a finite group ⋮ Hyperideal-based intersection graphs ⋮ Unnamed Item ⋮ Diameters and automorphism groups of inclusion graphs over nilpotent groups ⋮ Graphs defined on groups ⋮ The intersection graph of a finite simple group has diameter at most 5 ⋮ Characterization of some families of simple groups by their intersection graphs ⋮ Intersection graphs of general linear groups

Cites Work

• Unnamed Item
• Abelian groups with isomorphic intersection graphs
• Finite groups with a five-component prime graph.
• A note on finite simple groups with abelian Sylow \(p\)-subgroups.
• Prime graph components of finite groups
• Non-Abelian Sylow subgroups of finite groups of even order
• Intersection graphs of subgroups of finite groups
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• ON A GRAPH RELATED TO THE MAXIMAL SUBGROUPS OF A GROUP
• The Maximal Subgroups of J ₄

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