Periodic groups saturated with finite simple groups of lie type rank 1 (1708.08181v1)

Abstract: In the Kourovka notebook the following question is posed 14.101: Is it true that a periodic group saturated with finite simple groups of Lie type whose ranks are bounded in the aggregate, is itself a simple group of Lie type? In this paper we give a partial answer to this question for periodic groups saturated by finite simple groups of Lie type rank 1.