Journal of Symbolic Logic

A note on superstable groups

Jerry Gagelman

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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.

Article information

Source
J. Symbolic Logic, Volume 70, Issue 2 (2005), 661-663.

Dates
First available in Project Euclid: 1 July 2005

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1120224734

Digital Object Identifier
doi:10.2178/jsl/1120224734

Mathematical Reviews number (MathSciNet)
MR2140052

Zentralblatt MATH identifier
1106.03028

Citation

Gagelman, Jerry. A note on superstable groups. J. Symbolic Logic 70 (2005), no. 2, 661--663. doi:10.2178/jsl/1120224734. https://projecteuclid.org/euclid.jsl/1120224734


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References

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