Finite groups whose conjugacy class graphs have few vertices.

DOI10.1007/S00013-005-1318-XzbMATH Open1104.20027OpenAlexW2028743947MaRDI QIDQ2569216

Guohua Qian, Alexander Moretó, Shi Wujie

Publication date: 18 October 2005

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-005-1318-x

zbMATH Keywords

lengths of conjugacy classesnon-Abelian simple groupsfinite complete graphs

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items (10)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Groups which do not have four irreducible characters of degrees divisible by a prime \(p\) ⋮ On EPO-groups with a given property on their conjugacy classes ⋮ Finite solvable groups whose character graphs are trees. ⋮ The commuting conjugacy class graphs of finite groups with a given property ⋮ On the number of different prime divisors of element orders ⋮ Classification of finite groups according to their conjugacy class lengths ⋮ Finite nonsolvable groups whose character graphs have no triangles. ⋮ Monomiality of finite groups with some conditions on conjugacy classes. ⋮ Classification of non-solvable groups with a given property.

This page was built for publication: Finite groups whose conjugacy class graphs have few vertices.