Algebraic groups as difference Galois groups of linear differential equations

نویسندگان

چکیده

We study the inverse problem in difference Galois theory of linear differential equations over difference-differential field C(x) with derivation ddx and endomorphism f(x)?f(x+1). Our main result is that every algebraic group, considered as a occurs group some equation C(x).

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2022

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2021.106854