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1. Conjugacy classes of finite groups and graph regularity.

Author

Bianchi, Mariagrazia, Camina, Rachel D., Herzog, Marcel, and Pacifici, Emanuele

Subjects
*CONJUGACY classes, *FINITE groups, *MATHEMATICAL regularization, *GRAPH theory, *UNDIRECTED graphs
Abstract

Given a finite group G, denote by the simple undirected graph whose vertices are the distinct sizes of noncentral conjugacy classes of G, and set two vertices of to be adjacent if and only if they are not coprime numbers. In this note we prove that, if is a k-regular graph with k ≥ 1, then is a complete graph with vertices. [ABSTRACT FROM AUTHOR]

Published
2015
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