A class of c-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.

Mapping class groups and outer automorphism groups of free groups are C -simple

We prove that the reduced C -algebras of centerless mapping class groups and outer automorphism groups of free groups are simple, as are the irreducible pure subgroups of mapping class groups and the analogous subgroups of outer automorphism groups of free groups. r 2003 Elsevier Inc. All rights reserved. MSC: 20F28; 20F65; 46L55; 57N05