Submission date: 20 September 2009.

Abstract:

We show some basic facts about dp-minimal ordered structures. The main results are : dp-minimal groups are abelian-by-finite-exponent, in a divisible ordered dp-minimal group, any infinite set has non-empty interior, and any theory of pure tree is dp- minimal.

Mathematics Subject Classification: 03C68

Keywords and phrases: dp-minimal, NIP, trees

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