| On the Definitions of Difference Galois Groups (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. | |||||||||
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