The Diameter of a Conjugacy Class Graph of Finite Groups

DOI10.1112/blms/28.2.141zbMath0852.20017OpenAlexW2008866845MaRDI QIDQ4893632

Silvio Dolfi, Carlo Casolo

Publication date: 9 December 1996

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

Full work available at URL: https://doi.org/10.1112/blms/28.2.141

zbMATH Keywords

finite groupssemidirect productsAbelian groupsnumber of connected componentsconjugacy class graphsconnected graphs of diameter 3

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40) Products of subgroups of abstract finite groups (20D40)

Related Items

Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Groups whose prime graph on conjugacy class sizes has few complete vertices. ⋮ NORMAL SUBGROUPS WHOSE CONJUGACY CLASS GRAPH HAS DIAMETER THREE ⋮ BIPARTITE DIVISOR GRAPH FOR THE PRODUCT OF SUBSETS OF INTEGERS ⋮ Conjugacy classes contained in normal subgroups: an overview ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Groups whose prime graph on class sizes has a cut vertex ⋮ On bipartite divisor graphs for group conjugacy class sizes. ⋮ Divisibility Graph for Symmetric and Alternating Groups ⋮ Groups having complete bipartite divisor graphs for their conjugacy class sizes.