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Simple Groups of Morley Rank 5 Are Bad
Journal of Symbolic Logic 83 (3):1217-1228 (2018)
Abstract
We show that any simple group of Morley rank 5 is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most 2. The main result is then used to catalog the nonsoluble connected groups of Morley rank 5.Other Versions
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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.
Actions of groups of finite Morley rank on small abelian groups.Adrien Deloro - 2009 - Bulletin of Symbolic Logic 15 (1):70-90.
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