Simple groups of Morley rank 3 are algebraic

Frécon, Olivier

doi:10.1090/jams/892

Simple groups of Morley rank $3$ are algebraic
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by Olivier Frécon

J. Amer. Math. Soc. 31 (2018), 643-659

DOI: https://doi.org/10.1090/jams/892

Published electronically: November 7, 2017

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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 $\textrm {PSL}_2(K)$ for an algebraically closed field $K$.

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