On the Diameter of a Graph Related to Conjugacy Classes of Groups

DOI10.1112/BLMS/25.3.255zbMATH Open0810.20018OpenAlexW2006701802MaRDI QIDQ4289511

Avinoam Mann, David Chillag, Marcel Herzog

Publication date: 19 April 1995

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

Full work available at URL: https://doi.org/10.1112/blms/25.3.255

zbMATH Keywords

conjugacy classesconnected componentsfinite groupsgraphsdiameters

Mathematics Subject Classification ID

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

Related Items (23)

Finite groups whose commuting conjugacy class graphs have isolated vertices ⋮ On graphs related to conjugacy classes of groups ⋮ Finite Groups with a Disconnectedp-Regular Conjugacy Class Graph ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Finite solvable groups whose character graphs are trees. ⋮ The Engel graph of a finite group ⋮ Finite groups with graphs containing no triangles ⋮ The commuting conjugacy class graphs of finite groups with a given property ⋮ On the regularity of a graph related to conjugacy classes of groups. ⋮ The Diameter of a Conjugacy Class Graph of Finite Groups ⋮ Graphs associated to conjugacy classes of normal subgroups in finite groups. ⋮ Finite nonsolvable groups whose character graphs have no triangles. ⋮ Conjugacy classes contained in normal subgroups: an overview ⋮ On the Diameter of ap-Regular Conjugacy Class Graph of Finite Groups II ⋮ Cycles and bipartite graphs on conjugacy class of groups ⋮ The diameter of the non-nilpotent graph of a finite group ⋮ On the common divisor graph of the product of integer multisets ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ On Class Size of p-Singular Elements in Finite Groups ⋮ On a Commuting Graph on Conjugacy Classes of Groups ⋮ On the diameter of a graph related to \(p\)-regular conjugacy classes of finite groups ⋮ Classification of non-solvable groups with a given property. ⋮ On a graph associated to invariant conjugacy classes of finite groups.

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