A note on superstable groups

Journal of Symbolic Logic 70 (2):661-663 (2005)
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Abstract

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

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10.2178/jsl/1120224734

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