Title
Some remarks on inp-minimal and finite burden groups
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.
Year
DOI
Venue
2019
10.1007/s00153-018-0634-3
Archive for Mathematical Logic
Keywords
Field
DocType
dp-minimal, Left-ordered groups, Finite burden groups, 03C45, 03C60, 06F15
Abelian group,Discrete mathematics,Mathematics
Journal
Volume
Issue
ISSN
58.0
3-4
1432-0665
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Jan Dobrowolski100.34
John Goodrick2267.57