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Some remarks on inp-minimal and finite burden groups
Archive for Mathematical Logic 58 (3-4):267-274 (2019)
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.My notes
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References found in this work
On dp-minimality, strong dependence and weight.Alf Onshuus & Alexander Usvyatsov - 2011 - Journal of Symbolic Logic 76 (3):737 - 758.
On generically stable types in dependent theories.Alexander Usvyatsov - 2009 - Journal of Symbolic Logic 74 (1):216-250.
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