Some Remarks on dp-Minimal Groups

Itay Kaplan; Elad Levi; Pierre Simon

doi:10.1007/978-3-319-51718-6_20

Some Remarks on dp-Minimal Groups

Itay Kaplan, Elad Levi, Pierre Simon

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We prove that ω-categorical dp-minimal groups are nilpotent-by-finite, a small step in the general direction of proving this for NIP ω-categorical groups. We also show that in dp-minimal definably amenable groups, f-generic global types are strongly f-generic.

Original language	English
Title of host publication	Groups, Modules, and Model Theory
Subtitle of host publication	Surveys and Recent Developments
Publisher	Springer International Publishing AG
Number of pages	14
ISBN (Electronic)	978-3-319-51718-6
ISBN (Print)	9783319517179, 9783319517186, 9783319847252
DOIs	https://doi.org/10.1007/978-3-319-51718-6_20
State	Published - 4 Jun 2017

Keywords

Omega-categorical groups
Dp-minimal groups
Definably amenable groups

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10.1007/978-3-319-51718-6_20

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Some Remarks on dp-Minimal Groups

Abstract

Keywords

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