The automorphism group of a function field
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- by Manohar Madan and Michael Rosen PDF
- Proc. Amer. Math. Soc. 115 (1992), 923-929 Request permission
Abstract:
Let $k$ be an algebraically closed field, $K$ a function field in one variable over $k$ , and $G$ a nontrivial finite group. It is proven that there exist infinitely many Galois extensions $L/K$ such that $\operatorname {Gal} (L/K)$ is isomorphic to $G$ , and $\operatorname {Gal} (L/K) = {\operatorname {Aut} _k}(L)$. This extends to arbitrary characteristic, a result first proven in the case $k = \mathbb {C}$ by Greenberg in 1974.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 923-929
- MSC: Primary 12F12; Secondary 11R58
- DOI: https://doi.org/10.1090/S0002-9939-1992-1088443-2
- MathSciNet review: 1088443