Submission date: 7 September 2016

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.

Mathematics Subject Classification: 03C64, 06F15

Keywords and phrases:

Full text arXiv 1609.01909: pdf, ps.