Back to Search
Start Over
On the Definitions of Difference Galois Groups
- Publication Year :
- 2007
-
Abstract
- We compare several definitions of the Galois group of a linear difference equation that have arisen in algebra, analysis and model theory and show, that these groups are isomorphic over suitable fields. In addition, we study properties of Picard-Vessiot extensions over fields with not necessarily algebraically closed subfields of constants.
- Subjects :
- Mathematics - Classical Analysis and ODEs
Mathematics - Logic
12H10
03C60
12L12
39A13
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0705.2975
- Document Type :
- Working Paper