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 Dobrowolski | 1 | 0 | 0.34 |
John Goodrick | 2 | 26 | 7.57 |