Classifying totally categorical groups

Annals of Pure and Applied Logic 77 (1):81-100 (1996)
  Copy   BIBTEX

Abstract

Assume T is unidimensional, 1-based and every minimal type in T is locally finite. If H is an Λ -definable irreducible group, we find an irreducible supergroup G of H in acleq such that any connected subgroup of Gn, n < ω, is the connected component of a subgroup linearly defined over the ring End*. In some cases we can take G = H

Categories

Keywords

Reprint years

DOI

10.1016/0168-0072(95)00012-7

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,813

External links

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

Through your library

My notes

Similar books and articles

Review: Gisela Ahlbrandt, Martin Ziegler, Quasi Finitely Axiomatizable Totally Categorical Theories; Ehud Hrushovski, Totally Categorical Structures. [REVIEW]B. Zil'ber - 1993 - Journal of Symbolic Logic 58 (2):713-714.
M-Zeroids: Structure and Categorical Equivalence.Joshua B. Palmatier & Fernando Guzman - 2012 - Studia Logica 100 (5):975-1000.
Uncountable theories that are categorical in a higher power.Michael Chris Laskowski - 1988 - Journal of Symbolic Logic 53 (2):512-530.
Degrees of isomorphism types and countably categorical groups.Aleksander Ivanov - 2012 - Archive for Mathematical Logic 51 (1):93-98.
Tiny models of categorical theories.M. C. Laskowski, A. Pillay & P. Rothmaler - 1992 - Archive for Mathematical Logic 31 (6):385-396.
A note on superstable groups.Jerry Gagelman - 2005 - Journal of Symbolic Logic 70 (2):661-663.
Special Groups Whose Isometry Relation Is a Finite Union of Cosets.Vincent Astier - 2008 - Journal of Symbolic Logic 73 (2):448 - 473.
A note on the model theory of generalized polygons.Katrin Tent - 2000 - Journal of Symbolic Logic 65 (2):692-702.
On relationships between algebraic properties of groups and rings in some model-theoretic contexts.Krzysztof Krupiński - 2011 - Journal of Symbolic Logic 76 (4):1403-1417.
On ω-categorical, generically stable groups.Jan Dobrowolski & Krzysztof Krupiński - 2012 - Journal of Symbolic Logic 77 (3):1047-1056.
Interpreting groups in ω-categorical structures.Dugald Macpherson - 1991 - Journal of Symbolic Logic 56 (4):1317-1324.
The clinical and cultural factors in classifying low back pain patients within Greece: a qualitative exploration of Greek health professionals.Evdokia V. Billis, Christopher J. McCarthy, Ioannis Stathopoulos, Eleni Kapreli, Paulina Pantzou & Jacqueline A. Oldham - 2007 - Journal of Evaluation in Clinical Practice 13 (3):337-345.
Quasi finitely axiomatizable totally categorical theories.Gisela Ahlbrandt & Martin Ziegler - 1986 - Annals of Pure and Applied Logic 30 (1):63-82.
Supersimple ω-categorical groups and theories.David M. Evans & Frank O. Wagner - 2000 - Journal of Symbolic Logic 65 (2):767-776.

Analytics

Added to PP
2014-01-16

Downloads
23 (#701,105)

6 months
9 (#352,458)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Model theory of modules.Martin Ziegler - 1984 - Annals of Pure and Applied Logic 26 (2):149-213.
Unidimensional theories are superstable.Ehud Hrushovski - 1990 - Annals of Pure and Applied Logic 50 (2):117-137.
Locally modular theories of finite rank.Steven Buechler - 1986 - Annals of Pure and Applied Logic 30 (1):83-94.
Unidimensional theories are superstable.Katsuya Eda - 1990 - Annals of Pure and Applied Logic 50 (2):117-137.

Add more references