A note on superstable groups
Gagelman, Jerry
J. Symbolic Logic, Tome 70 (2005) no. 1, p. 661-663 / Harvested from Project Euclid
It is proved that all groups of finite U-rank that have the descending chain condition on definable subgroups are totally transcendental. A corollary is that any stable group that is definable in an o-minimal structure is totally transcendental of finite Morley rank.
Publié le : 2005-06-14
Classification: 
@article{1120224734,
     author = {Gagelman, Jerry},
     title = {A note on superstable groups},
     journal = {J. Symbolic Logic},
     volume = {70},
     number = {1},
     year = {2005},
     pages = { 661-663},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1120224734}
}
Gagelman, Jerry. A note on superstable groups. J. Symbolic Logic, Tome 70 (2005) no. 1, pp.  661-663. http://gdmltest.u-ga.fr/item/1120224734/