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Journal Articles Journal of the American Mathematical Society Year : 2018

Simple groups of Morley rank 3 are algebraic

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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 .

Dates and versions

hal-03704181 , version 1 (24-06-2022)

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