On Graphs Associated with Character Degrees and Conjugacy Class Sizes of Direct Products of Finite Groups

DOI10.4153/CMB-2014-058-8zbMath1319.20026MaRDI QIDQ4981917

Samaneh Hossein-Zadeh, Mark L. Lewis, Mohammad Ali Hosseinzadeh, Ali Iranmanesh

Publication date: 23 March 2015

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

irreducible complex charactersconjugacy class sizesgraph operationscharacter degree graphssets of character degreescommon divisor graphsproducts of finite groupsprime vertex graphs

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Products of subgroups of abstract finite groups (20D40) Graph operations (line graphs, products, etc.) (05C76)

Related Items (5)

Coloring of character graphs ⋮ On cut vertices and eigenvalues of character graphs of solvable groups ⋮ Hamiltonian character graphs ⋮ THE CHARACTER GRAPH OF A FINITE GROUP IS PERFECT ⋮ Regular character-graphs whose eigenvalues are greater than or equal to \(-2\)

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