# Difference Galois theory of linear differential equations

@article{Vizio2013DifferenceGT, title={Difference Galois theory of linear differential equations}, author={Lucia Di Vizio and Charlotte Hardouin and Michael Wibmer}, journal={arXiv: Commutative Algebra}, year={2013} }

We develop a Galois theory for linear differential equations equipped with the action of an endomorphism. This theory is aimed at studying the difference algebraic relations among the solutions of a linear differential equation. The Galois groups here are linear difference algebraic groups, i.e., matrix groups defined by algebraic difference equations.

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