Symmetric presentations of some finite groups

Abstract

In this research we give some symmetric presentation of finite group of three or four generators by using our control subgroup some symmetric, alternating and linear groups and some groups as direct product of two cyclic groups C1XCj=<x1yxf=y1=(x,y)=1> by two or three generator. In our results we add one or two generators and some relations to get presentations of some groups, where is the generators t and z are from symmetric generating sit. Also we give some permutation representation of some