Reducts of structures and maximal-closed permutation groups
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
Answering a question of Junker and Ziegler, we construct a countable first order structure which is not ω-categorical, but does not have any proper nontrivial reducts, in either of two senses (modeltheoretic, and group-theoretic). We also construct a strongly minimal set which is not ω-categorical but has no proper nontrivial reducts in the model-theoretic sense.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 1087-1114 |
| Number of pages | 28 |
| Journal | Journal of Symbolic Logic |
| Volume | 81 |
| Issue number | 3 |
| Publication status | Published - 1 Sept 2016 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0001-8228-3611/work/142241116 |
|---|
Keywords
ASJC Scopus subject areas
Keywords
- D-relations, Jordan permutation groups, Maximal closed subgroups, Reducts