Groups of Morley Rank 4

Journal of Symbolic Logic 81 (1):65-79 (2016)
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Abstract

We show that any simple group of Morley rank 4 must be a bad group with no proper definable subgroups of rank larger than 1. We also give an application to groups acting on sets of Morley rank 2.

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Citations of this work

The Structure of an SL2-module of finite Morley rank.Jules Tindzogho Ntsiri - 2017 - Mathematical Logic Quarterly 63 (5):364-375.

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References found in this work

Semisimple torsion in groups of finite Morley rank.Jeffrey Burdges & Gregory Cherlin - 2009 - Journal of Mathematical Logic 9 (2):183-200.
Groups of small Morley rank.Gregory Cherlin - 1979 - Annals of Mathematical Logic 17 (1):1.

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