Journal of Symbolic Logic 85 (3):918-936 (2020)

Abstract
We shall define a general notion of dimension, and study groups and rings whose interpretable sets carry such a dimension. In particular, we deduce chain conditions for groups, definability results for fields and domains, and show that a pseudofinite $\widetilde {\mathfrak M}_c$ -group of finite positive dimension contains a finite-by-abelian subgroup of positive dimension, and a pseudofinite group of dimension 2 contains a soluble subgroup of dimension 2.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1017/jsl.2020.48
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,410
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

On Pseudo-Finite Dimensions.Ehud Hrushovski - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):463-495.
Measurable Groups of Low Dimension.Richard Elwes & Mark Ryten - 2008 - Mathematical Logic Quarterly 54 (4):374-386.
Ultraproducts and Chevalley Groups.Françoise Point - 1999 - Archive for Mathematical Logic 38 (6):355-372.
Simple Theories.Frank O. Wagner - 2002 - Bulletin of Symbolic Logic 8 (4):522-524.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Ultraproducts and Chevalley Groups.Françoise Point - 1999 - Archive for Mathematical Logic 38 (6):355-372.
One-Basedness and Groups of the Form G/G 00.Davide Penazzi - 2011 - Archive for Mathematical Logic 50 (7-8):743-758.
Model-Theory of Vector-Spaces Over Unspecified Fields.David Pierce - 2009 - Archive for Mathematical Logic 48 (5):421-436.
Coding Complete Theories in Galois Groups.James Gray - 2008 - Journal of Symbolic Logic 73 (2):474 - 491.
Small Stable Groups and Generics.Frank O. Wagner - 1991 - Journal of Symbolic Logic 56 (3):1026-1037.
Small Stable Groups and Generics.Frank O. Wagner - 1991 - Journal of Symbolic Logic 56 (3):1026-1037.
Symmetry and Representation in a Three Dimensional Space.Michael Downward - 2015 - Foundations of Chemistry 17 (3):275-287.
Minimal Groups in Separably Closed Fields. E. Bouscaren & F. Delon - 2002 - Journal of Symbolic Logic 67 (1):239-259.
Historical Development of Teichmüller Theory.Athanase Papadopoulos & Lizhen Ji - 2013 - Archive for History of Exact Sciences 67 (2):119-147.
A Note on Groups Definable in the P -Adic Field.Anand Pillay & Ningyuan Yao - 2019 - Archive for Mathematical Logic 58 (7-8):1029-1034.
Elementary Equivalence of Infinite-Dimensional Classical Groups.Vladimir Tolstykh - 2000 - Annals of Pure and Applied Logic 105 (1-3):103-156.

Analytics

Added to PP index
2020-10-06

Total views
3 ( #1,362,995 of 2,519,863 )

Recent downloads (6 months)
1 ( #406,012 of 2,519,863 )

How can I increase my downloads?

Downloads

My notes