On the Definitions of Difference Galois Groups

Details On the Definitions of Difference Galois Groups On the Definitions of Difference Galois Groups

2007-05-21

arxiv.org/abs/0705.2975v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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