Completion of r.t. extensions of local fields (I)
β Scribed by Victor Alexandru; Angel Popescu; Nicolae Popescu
- Book ID
- 110596661
- Publisher
- Springer-Verlag
- Year
- 1996
- Tongue
- French
- Weight
- 396 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
The structure of GALols groups of local fields has been studied by many mathematicians. The description of maximal p-extensions was obtained by 1. R . SAFAREVIC [S] and S . P. DEMUSHKIN [D]. Important results about the GALOIS group of an algebraic closure of local fields were proved by K. IWASAWA [
Let K be a finite tamely ramified extension of Q p and let L/K be a totally ramified (Z/p n Z)-extension. Let L be a uniformizer for L, let be a generator for Gal(L/K), and let f (X) be an element of O K [X] such that ( L ) = f ( L ). We show that the reduction of f (X) modulo the maximal ideal of O