Prime graphs of finite groups with a small number of triangles.

DOI10.1007/s00605-013-0577-zzbMath1315.20006OpenAlexW2160126389MaRDI QIDQ471134

Hung P. Tong-Viet

Publication date: 14 November 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0577-z

zbMATH Keywords

finite groupsirreducible complex charactersprime graphstrianglescharacter degree graphssets of character degreesnumbers of vertices

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (2)

Five-vertex degree graphs of nonsolvable groups ⋮ On nonsolvable groups whose prime degree graphs have four vertices and one triangle

Cites Work

• Four-vertex degree graphs of nonsolvable groups.
• Groups whose prime graphs have no triangles.
• Characterization of some simple groups by the multiplicity pattern.
• Finite groups whose prime graphs are regular.
• Square character degree graphs yield direct products.
• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• On the character degree graph of solvable groups. I: Three primes
• A reduction theorem for the McKay conjecture.
• Character degrees of extensions of PSL2(q) and SL2(q)
• Character degree graphs of automorphism groups of characteristically simple groups
• A note on character degrees of finite solvable groups
• SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Prime graphs of finite groups with a small number of triangles.