Minimal bounded index subgroup for dependent theories

Author:

Shelah Saharon

Abstract

For a dependent theory T T , in C T {\mathfrak {C}}_{T} for every type definable group G G , the intersection of type definable subgroups with bounded index is a type definable subgroup with bounded index.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Logical stability in group theory;Baldwin, J. T.;J. Austral. Math. Soc. Ser. A,1976

2. A descending chain condition for groups definable in o-minimal structures;Berarducci, Alessandro;Ann. Pure Appl. Logic,2005

3. [HPP0x] Ehud Hrushovski, Ya’acov Peterzil, and Anand Pillay. Groups, measures, and the NIP. preprint, 2005.

4. [Sh:F753] Saharon Shelah. Definable Groups for Dependent Theories.

5. [Sh:783] Saharon Shelah. Dependent first order theories, continued. Israel Journal of Mathematic, accepted. math.LO/0406440.

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