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June 2005 A note on superstable groups
Jerry Gagelman
J. Symbolic Logic 70(2): 661-663 (June 2005). DOI: 10.2178/jsl/1120224734

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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Jerry Gagelman. "A note on superstable groups." J. Symbolic Logic 70 (2) 661 - 663, June 2005. https://doi.org/10.2178/jsl/1120224734

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Published: June 2005
First available in Project Euclid: 1 July 2005

zbMATH: 1106.03028
MathSciNet: MR2140052
Digital Object Identifier: 10.2178/jsl/1120224734

Rights: Copyright © 2005 Association for Symbolic Logic

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Vol.70 • No. 2 • June 2005
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