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Preprint Number 1681

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1681. Jamshid Derakhshan
Solvability in groups with a chain condition on uniformly definable
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Submission date: 5 November 2019

Abstract:

We prove a structure theorem for periodic locally soluble groups satisfying a chain condition on intersections of relatively uniformly definable subgroups using results from the theory of stable groups. The result in particular shows that these groups are soluble, thus giving a model-theoretic and much simpler proof of a special case of a theorem of Bryant and Hartley on the solubility of periodic locally soluble groups satisfying the minimal condition on centralizers.

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Full text arXiv 1911.01589: pdf, ps.


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