Linear groups of finite Morley rank
classification
🧮 math.LO
math.GR
keywords
finitegroupgroupsmorleyrankalebaricitycherlin-zilberconjecture
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We show that a non-algebraic simple group of finite Morley rank with a definable representation over a field has no involutions, and otherwise resembles a bad group. In particular, the modern form of the Cherlin-Zilber alebaricity conjecture hold for such groups.
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