Supersimple ω-categorical groups and theories

Journal of Symbolic Logic 65 (2):767-776 (2000)
  Copy   BIBTEX

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( $\emptyset$ )-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

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 94,726

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Supersimple $\omega$-Categorical Groups and Theories.David Evans & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.
The geometry of forking and groups of finite Morley rank.Anand Pillay - 1995 - Journal of Symbolic Logic 60 (4):1251-1259.
On pseudolinearity and generic pairs.Evgueni Vassiliev - 2010 - Mathematical Logic Quarterly 56 (1):35-41.
On the definability of radicals in supersimple groups.Cé{D.}ric Milliet - 2013 - Journal of Symbolic Logic 78 (2):649-656.
On omega-categorical simple theories.Daniel Palacín - 2012 - Archive for Mathematical Logic 51 (7-8):709-717.
Geometry of Forking in Simple Theories.Assaf Peretz - 2006 - Journal of Symbolic Logic 71 (1):347 - 359.
Rank and Dimension in Difference-Differential Fields.Ronald F. Bustamante Medina - 2011 - Notre Dame Journal of Formal Logic 52 (4):403-414.
On solvable centerless groups of Morley rank 3.Mark Kelly Davis & Ali Nesin - 1993 - Journal of Symbolic Logic 58 (2):546-556.
Measurable groups of low dimension.Richard Elwes & Mark Ryten - 2008 - Mathematical Logic Quarterly 54 (4):374-386.
Rank and Dimension in Difference-Differential Fields.Ronald F. Bustamante Medina - 2011 - Notre Dame Journal of Formal Logic 52 (4):403-414.

Analytics

Added to PP
2009-01-28

Downloads
54 (#293,169)

6 months
21 (#164,900)

Historical graph of downloads
How can I increase my downloads?

References found in this work

A new strongly minimal set.Ehud Hrushovski - 1993 - Annals of Pure and Applied Logic 62 (2):147-166.
ℵ0-Categorical, ℵ0-stable structures.G. Cherlin, L. Harrington & A. H. Lachlan - 1985 - Annals of Pure and Applied Logic 28 (2):103-135.
From stability to simplicity.Byunghan Kim & Anand Pillay - 1998 - Bulletin of Symbolic Logic 4 (1):17-36.

Add more references