LOCALLY FINITE SIMPLE GROUPS WHOSE NONNILPOTENT SUBGROUPS ARE PRONORMAL

Abstract

Abstract A subgroup H of a group G is said to be pronormal in G if each of its conjugates $H^g$ in G is already conjugate to it in the subgroup $\langle H,H^g\rangle $ . The aim of this paper is to classify those (locally) finite simple groups which have only nilpotent or pronormal subgroups.