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Sous-groupes de Carter dans les groupes de rang de Morley fini

Published online by Cambridge University Press:  12 March 2014

Olivier Frécon
Olivier Frécon*
Affiliation:
Département de Mathématiques, Université de la Réunion, 15, Avenue René Cassin, 97715 Saint-Denis Messag Cedex 9, France, E-mail: olivier.frecon@univ-reunion.fr
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Résumé

A Carter subgroup is a self-normalizing locally nilpotent subgroup. For studying these subgroups in groups of finite Morley rank, we introduce the new notion of a locally closed subgroup. We show that every solvable group of finite Morley rank has a unique conjugacy class of Carter subgroups.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 1 , March 2004 , pp. 23 - 33
Copyright
Copyright © Association for Symbolic Logic 2004

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