paper

On the structure of groups endowed with a compatible C-relation

arXiv:1609.01909 · doi:10.1017/jsl.2018.41

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 by Macpherson and Steinhorn.

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