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arxiv: 1401.2373 · v3 · pith:4F5SUYMHnew · submitted 2014-01-10 · 🧮 math.LO · math.GR

Groups of Morley rank 4

classification 🧮 math.LO math.GR
keywords rankmorleygroupgroupsactingapplicationdefinablegive
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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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