A class of soluble groups

Realization of a Certain Class of Semi-Groups as Value Semi-Groups of Valuations

A Fractal Non-Contracting Class of Automata Groups

A Class of Two Generated Automaton Groups on a Three Letter Alphabet

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.

A Characterization of the Nite Soluble Groups