Characterization of some families of simple groups by their intersection graphs

DOI10.1080/00927872.2019.1682151zbMath1435.05104OpenAlexW2984953008MaRDI QIDQ5220633

Hossein Shahsavari, Behrooz Khosravi

Publication date: 27 March 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1682151

zbMATH Keywords

intersection graphcharacterizationsimple groupleaflattice of subgroups

Mathematics Subject Classification ID

Simple groups (20E32) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

The clique number of the intersection graph of a finite group ⋮ Characterization by intersection graph of some families of finite nonsimple groups

Cites Work

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• Abelian groups with isomorphic intersection graphs
• Generation of classical groups
• Intersection graphs of subgroups of finite groups
• On point stabilizers in primitive permutation groups
• The Finite Simple Groups
• Connectivity of intersection graphs of finite groups
• On the intersection graph of a finite group
• The depth of a finite simple group
• The intersection graph of a group
• FINITE GROUPS WHOSE INTERSECTION GRAPHS ARE PLANAR
• K_3,3-free intersection graphs of finite groups
• The graph of subgroups of a finite group
• On the diameter of the intersection graph of a finite simple group

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