Finite groups with graphs containing no triangles

DOI10.1016/S0021-8693(03)00142-XzbMath1024.20021OpenAlexW1984314029MaRDI QIDQ1399187

Ming Fang, Pu Zhang

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00142-x

zbMATH Keywords

conjugacy classesfinite groupsFrobenius groupsgraphs

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• On the length of the conjugacy classes of finite groups
• A proof of Szep's conjecture on nonsimplicity of certain finite groups
• Prime factors of conjugacy-class lengths and irreducible character-degrees in finite soluble groups.
• Arithmetical conditions on the length of the conjugacy classes of a finite group
• The \(S_ 3\)-conjecture for solvable groups
• On a Graph Related to Conjugacy Classes of Groups
• On the Diameter of a Graph Related to Conjugacy Classes of Groups
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Related Items (16)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ On the Genus of the Nilpotent Graphs of Finite Groups ⋮ 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 ⋮ COPRIME CONJUGACY CLASS SIZES ⋮ Finite solvable groups whose character graphs are trees. ⋮ The commuting conjugacy class graphs of finite groups with a given property ⋮ Triangles in the graph of conjugacy classes of normal subgroups ⋮ Classification of finite groups according to their conjugacy class lengths ⋮ Finite nonsolvable groups whose character graphs have no triangles. ⋮ Conjugacy classes contained in normal subgroups: an overview ⋮ Finite groups with star-free noncyclic graphs ⋮ Cycles and bipartite graphs on conjugacy class of groups ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Classification of non-solvable groups with a given property. ⋮ The divisibility graph for F-groups

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