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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Automorphism groups of small simple groups of finite Morley rank


Author: Olivier Frécon
Journal: Proc. Amer. Math. Soc. 138 (2010), 2591-2599
MSC (2000): Primary 03C60, 20F28; Secondary 20A15, 20E36
Published electronically: March 8, 2010
MathSciNet review: 2607889
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Abstract: If $ G$ is a minimal connected simple group of finite Morley rank with a nontrivial Weyl group, then its connected definable automorphism groups are inner.


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Additional Information

Olivier Frécon
Affiliation: Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2–BP 30179, Boulevard Marie et Pierre Curie, 86962 Futuroscope Chasseneuil Cedex, France
Email: olivier.frecon@math.univ-poitiers.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10326-8
PII: S 0002-9939(10)10326-8
Keywords: Groups of finite Morley rank, Weyl group, Carter subgroups
Received by editor(s): October 14, 2009
Received by editor(s) in revised form: November 8, 2009, November 23, 2009, and November 29, 2009
Published electronically: March 8, 2010
Communicated by: Julia Knight
Article copyright: © Copyright 2010 American Mathematical Society