A Conjugacy Class as a Transversal in a Finite Group

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A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS

The commuting graph of a group is a graph with vertexes set of a subset of a group and two element are adjacent if they commute. The aim of this paper is to obtain the automorphism group of the commuting graph of a conjugacy class in the symmetric groups. The clique number, coloring number, independent number, and diameter of these graphs are also computed.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2001

ISSN: 0021-8693

DOI: 10.1006/jabr.2000.8684