B. Li, Daria V. Lytkina
Abstract
We prove that every 2-subgroup of a periodic group saturated with groups of Lie type over fields of odd characteristics whose Lie ranks are bounded as a whole is Chernikov. In particular, every such group is locally finite.
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We prove that every 2-subgroup of a periodic group saturated with groups of Lie type over fields of odd characteristics whose Lie ranks are bounded as a whole is Chernikov. In particular, every such group is locally finite.
Key concepts: Mathematics, Sylow theorems, Locally finite group, Simple group, Classification of finite simple groups, Group of Lie type, Simple (philosophy), Bounded function