On groups definable in geometric fields with generic derivations
Abstract
We study groups definable in existentially closed geometric fields with commuting derivations. Our main result is that such a group can be definably embedded in a group interpretable in the underlying geometric field. Compared to earlier work of the first two authors toguether with K. Peterzil, the novelty is that we also deal with infinite dimensional groups.
Fields of Study & Subjects
Advanced Topology and Set Theory
Homotopy and Cohomology in Algebraic Topology
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 26 August 2026
- Language
- EN