Minimal connected simple groups of finite Morley rank with strongly embedded subgroups

JOURNAL OF ALGEBRA

卷:314

Article

Burdges, Jeffrey ; Cherlin, Gregory ; Jaligot, Eric

关键词: simple group;    Morley rank;    strong embedding;    Borovik program;    algebraicity conjecture;    0-unipotence;    carter subgroup;    0-Sylow subgroup;    odd type;    group theory;   

DOI  :  10.1016/j.jalgebra.2006.12.031

来源: Elsevier

【 摘 要 】

Let G be a simple K*-group of finite Morley rank of odd type which is not algebraic. Then G has Prufer 2-rank at most two. This improves on an earlier result of the second and third authors for the tame case. In the critical case G is minimal connected simple of odd type with a proper definable strongly embedded subgroup. The bulk of the analysis relies on the first author's theory of 0-unipotence and the related 0-Sylow subgroup theory, as well as the so-called Bender method adapted to this context. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

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