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van der Put–Singer inverse problem conjecture for difference Galois groups
van der Put–Singer inverse problem conjecture. If $G/G^\circ$ is cyclic, then $G$ is the Galois group of a linear difference equation
Conjectureopendifference-galois-theory inverse-problems linear-difference-equationsarXiv posted 2 days ago

van der Put–Singer inverse problem conjecture for difference Galois groups