Intrinsic Approach to Galois Theory of $q$-Difference Equations Lindsay Schakenbach Regele one occurring amidst a distracting

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Intrinsic Approach to Galois Theory of $q$-Difference Equations Lindsay Schakenbach Regele one occurring amidst a distractingThe Galois theory of di? erence equations has witnessed a major evolution in the last two decades. In the particular case of q di? erence equations, authors have introduced several di? erent Galois theories. In this memoir we consider an arithmetic approach to the Galois theory of q di? erence equations and we use it to establish an arithmetical description of some of the Galois groups attached to q di? erence systems.