Supersimple $\omega$-Categorical Groups and Theories
Evans, David M. ; Wagner, Frank O.
J. Symbolic Logic, Tome 65 (2000) no. 1, p. 767-776 / Harvested from Project Euclid
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An $\omega$-categorical supersimple group is finite-by-abelian-by-finite, and has finite SU-rank. Every definable subgroup is commensurable with an acl($\emptyset$)-definable subgroup. Every finitely based regular type in a CM-trivial $\omega$-categorical simple theory is non-orthogonal to a type of SU-rank 1. In particular, a supersimple $\omega$-categorical CM-trivial theory has finite SU-rank.
Publié le : 2000-06-14
Classification:  $\omega$-Categorical,  Supersimple,  Finite Rank,  Group,  Abelian,  CM-Trivial,  03C45 
@article{1183746076,
     author = {Evans, David M. and Wagner, Frank O.},
     title = {Supersimple $\omega$-Categorical Groups and Theories},
     journal = {J. Symbolic Logic},
     volume = {65},
     number = {1},
     year = {2000},
     pages = { 767-776},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746076}
}

Evans, David M.; Wagner, Frank O. Supersimple $\omega$-Categorical Groups and Theories. J. Symbolic Logic, Tome 65 (2000) no. 1, pp.  767-776. http://gdmltest.u-ga.fr/item/1183746076/