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Kaplan I, Levi E, Simon P. Some Remarks on dp-minimal Groups. In: Droste M, Fuchs L, Goldsmith B, Strüngmann L, eds.Groups, Modules, and Model Theory - Surveys and Recent Developments : In Memory of Rüdiger Göbel. Cham: Springer International Publishing; 2017:359–372. Available at: . Publisher's Version
The main result of this article is sub-additivity of the dp-rank. We also show that the study of theories of finite dp-rank can not be reduced to the study of its dp-minimal types, and discuss the possible relations between dp-rank and VC-density.