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Galois groups over rational function fields over skew fields

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arxiv 2002.10300 v1 pith:AQA3KPB7 submitted 2020-02-24 math.NT

classification math.NT
keywords fieldfieldsgaloisskewamplecentercontainsdimension
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abstract

Let $H$ be a skew field of finite dimension over its center $k$. We solve the Inverse Galois Problem over the field of fractions $H(X)$ of the ring of polynomial functions over $H$ in the variable $X$, if $k$ contains an ample field.

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