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Simple groups of Morley rank 3 are algebraic

Abstract : There exists no bad group (in the sense of Gregory Cherlin); namely, any simple group of Morley rank 3 is isomorphic to PSL 2 ( K ) \textrm {PSL}_2(K) for an algebraically closed field K K .
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https://hal-univ-poitiers.archives-ouvertes.fr/hal-03704181
Contributor : Olivier Frécon Connect in order to contact the contributor
Submitted on : Friday, June 24, 2022 - 4:20:06 PM
Last modification on : Saturday, June 25, 2022 - 3:13:09 AM

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Olivier Frécon. Simple groups of Morley rank 3 are algebraic. Journal of the American Mathematical Society, American Mathematical Society, 2018, 31 (3), pp.643-659. ⟨10.1090/jams/892⟩. ⟨hal-03704181⟩

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