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Some remarks on inp-minimal and finite burden groups

Article

Abstract

We prove that any left-ordered inp-minimal group is abelian and we provide an example of a non-abelian left-ordered group of dp-rank 2. Furthermore, we establish a necessary condition for a group to have finite burden involving normalizers of definable sets, reminiscent of other chain conditions for stable groups.

Keywords

dp-minimal Left-ordered groups Finite burden groups 

Mathematics Subject Classification

03C45 03C60 06F15 

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of MathematicsUniversity of LeedsLeedsUK
  2. 2.Departamento de MatemáticasUniversidad de los AndesBogotáColombia

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