Generalized Fitting Subgroup of a Group of Finite Morley Rank
Nesin, Ali
J. Symbolic Logic, Tome 56 (1991) no. 1, p. 1391-1399 / Harvested from Project Euclid
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We define a characteristic and definable subgroup $F^\ast(G)$ of any group $G$ of finite Morley rank that behaves very much like the generalized Fitting subgroup of a finite group. We also prove that semisimple subnormal subgroups of $G$ are all definable and that there are finitely many of them.
Publié le : 1991-12-14
Classification:  
@article{1183743823,
     author = {Nesin, Ali},
     title = {Generalized Fitting Subgroup of a Group of Finite Morley Rank},
     journal = {J. Symbolic Logic},
     volume = {56},
     number = {1},
     year = {1991},
     pages = { 1391-1399},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183743823}
}

Nesin, Ali. Generalized Fitting Subgroup of a Group of Finite Morley Rank. J. Symbolic Logic, Tome 56 (1991) no. 1, pp.  1391-1399. http://gdmltest.u-ga.fr/item/1183743823/