A SURVEY ON SOME METHODS OF GENERATING FINITE SIMPLE GROUPS

摘要

A finite group can be generated in many different ways. In this paper we consider a few methods of generating finite simple groups and in particular we focus on those of interest to the authors especially the second author and his research group. These methods are concerned with ranks of conjugacy classes of elements, (p, q, r)-, nX-complementary generation and exact spread of finite non-abelian simple groups. We also give some examples of results that were established by the authors on generation of some finite non-abelian simple groups.