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A note on superstable groups

Published online by Cambridge University Press:  12 March 2014

Jerry Gagelman
Jerry Gagelman*
Affiliation:
Technische Universität Berlin, Institut für Mathematik, 3-3, Strasse des 17. Juni 136, 10623 Berlin, Germany, E-mail: gagelman@math.tu-berlin.de
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 2 , June 2005 , pp. 661 - 663
Copyright
Copyright © Association for Symbolic Logic 2005

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References

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