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ONE DIMENSIONAL GROUPS DEFINABLE IN THE p-ADIC NUMBERS

Part of: Model theory

Published online by Cambridge University Press:  15 February 2021

JUAN PABLO ACOSTA LÓPEZ
JUAN PABLO ACOSTA LÓPEZ*
Affiliation:
DEPARTMENT OF MATHEMATICS OF THE UNIVERSITY OF MÜNSTER SCHOSSPLATZ 2, 48149MÜNSTER, GERMANYE-mail: acostaj@uni-muenster.de
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Abstract

A complete list of one dimensional groups definable in the p-adic numbers is given, up to a finite index subgroup and a quotient by a finite subgroup.

Keywords

groupsp-adic numbersmodel theory

MSC classification

Primary: 03C07: Basic properties of first-order languages and structures
Type
Article
Information
The Journal of Symbolic Logic , Volume 86 , Issue 2 , June 2021 , pp. 801 - 816
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Copyright
© The Association for Symbolic Logic 2021

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