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

Frécon, Olivier

J. Symbolic Logic, Tome 69 (2004) no. 1, p. 23-33 / Harvested from Project Euclid

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.

Publié le : 2004-03-14
Classification:

@article{1080938822,
     author = {Fr\'econ, Olivier},
     title = {Sous-groupes de Carter dans les groupes de rang de Morley fini},
     journal = {J. Symbolic Logic},
     volume = {69},
     number = {1},
     year = {2004},
     pages = { 23-33},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080938822}
}

Frécon, Olivier. Sous-groupes de Carter dans les groupes de rang de Morley fini. J. Symbolic Logic, Tome 69 (2004) no. 1, pp.  23-33. http://gdmltest.u-ga.fr/item/1080938822/