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arXiv · 1708.08181

Periodic groups saturated with finite simple groups of lie type rank 1

A. A. Shlepkin
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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.

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A. A. Shlepkin. 2017-08-28. Periodic groups saturated with finite simple groups of lie type rank 1. https://arxiv.org/abs/1708.08181

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