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ON THE STRUCTURE OF GROUPS ENDOWED WITH A COMPATIBLE C-RELATION

Published online by Cambridge University Press:  23 October 2018

GABRIEL LEHÉRICY
GABRIEL LEHÉRICY*
Affiliation:
FACHBEREICH MATHEMATIK UND STATISTIK UNIVERSITÄT KONSTANZ 78457 KONSTANZ, GERMANY and UNIVERSITÉ PARIS DIDEROT INSTITUT DE MATHÉMATIQUES DE JUSSIEU - PARIS RIVE GAUCHE (IMJ-PRG) 75013 PARIS, FRANCE E-mail: gabriel.lehericy@uni-konstanz.de
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Abstract

We use quasi-orders to describe the structure of C-groups. We do this by associating a quasi-order to each compatible C-relation of a group, and then give the structure of such quasi-ordered groups. We also reformulate in terms of quasi-orders some results concerning C-minimal groups given in [5].

Keywords

13A1820F6006F1503C60ordered groupvaluationC-minimalityquasi-order
Type
Articles
Information
The Journal of Symbolic Logic , Volume 83 , Issue 3 , September 2018 , pp. 939 - 966
Copyright
Copyright © The Association for Symbolic Logic 2018 

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References

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