The classification of the finite simple groups has had far-reaching consequences for many branches of algebra. This paper is a discussion of several problems about primitive permutation groups which have been solved using the simple group classification.
Abstract.In this paper, we prove the following characterization of LFS-groups ofLet(i)(ii) there exists(a)(b)(c) forwhereThenWe use this theorem to construct a general family of LFS-groups of
Locally Finite Simple Groups of 1-Type