Submission date: 21 February 2017

Abstract:

Motivated by a recent result of Olivier Frécon, we develop a general notion of convex set in a group, which behaves decently in the absence of involutions, and in particular in a group of finite Morley rank without involutions. We show that the geometry of a minimal bad group degenerates, its only convex subsets being points, lines and the whole space.

Mathematics Subject Classification:

Keywords and phrases: Involutions, groupes de rang de Morley fini, mauvais groupes

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