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- W4244585334 abstract "Suppose G is a semi-direct product of the form Z/pn⋊Z/m where p is prime and m is relatively prime to p. Suppose K is a complete discrete valuation field of characteristic p>0 with algebraically closed residue field. The main result states necessary and sufficient conditions on the ramification filtrations that occur for wildly ramified G-Galois extensions of K. In addition, we prove that there exists a parameter space for G-Galois extensions of K with given ramification filtration, and we calculate its dimension in terms of the ramification filtration. We provide explicit equations for wild cyclic extensions of K of degree p3." @default.
- W4244585334 created "2022-05-12" @default.
- W4244585334 date "2015-01-01" @default.
- W4244585334 modified "2023-10-18" @default.
- W4244585334 title "New Product Developments" @default.
- W4244585334 doi "https://doi.org/10.1016/s1359-6128(15)70035-2" @default.
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