Alternatives for pseudofinite groups

Author:

Ould Houcine Abderezak,Point Françoise

Abstract

Abstract.The famous Tits alternative states that a linear group either contains a non-abelian free group or is soluble-by-(locally finite). In this paper we study similar alternatives in pseudofinite groups. We show, for instance, that an ℵ

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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2. Semigroups locally embeddable into the class of finite semigroups;International Journal of Algebra and Computation;2023-07-08

3. A note on pseudofinite groups of finite centraliser dimension;Journal of Group Theory;2021-08-19

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5. Centralizers in pseudo-finite groups;Journal of Algebra;2021-03

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