On the Definitions of Difference Galois Groups
Classical Analysis and ODEs
2007-05-23 v1 Logic
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.
Keywords
Cite
@article{arxiv.0705.2975,
title = {On the Definitions of Difference Galois Groups},
author = {Zoé Chatzidakis and Charlotte Hardouin and Michael F. Singer},
journal= {arXiv preprint arXiv:0705.2975},
year = {2007}
}