Supersimple $\omega$-categorical groups and theories

Evans, David M. and Wagner, Frank O. (2000) Supersimple $\omega$-categorical groups and theories. Journal of Symbolic Logic, 65 (2). pp. 767-776. ISSN 1943-5886

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Abstract

An ω-categorical supersimple group is finite-by-abelian-by-finite, and has finite SU-rank. Every definable subgroup is commensurable with an acl(ø)-definable subgroup. Every finitely based regular type in a CM-trivial ω-categorical simple theory is non-orthogonal to a type of SU-rank 1. In particular, a supersimple ω-categorical CM-trivial theory has finite SU-rank.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024)
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:52
Last Modified:	06 Feb 2025 03:59
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20034
DOI:	10.2307/2586568

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