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Tower of the maximal abelian extensions of local fields and its application

✍ Scribed by Dasheng Wei; Fei Xu

Publisher
Springer
Year
2009
Tongue
English
Weight
279 KB
Volume
129
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

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Let p be an odd prime number and k a finite extension of Q p . Let K/k be a totally ramified elementary abelian Kummer extension of degree p 2 with Galois group G. We determine the isomorphism class of the ring of integers in K as an oG-module under some assumptions. The obtained results imply there

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In this paper, first we make a maximal extension of the well-known Gauss-Markov Theorem (GMT) in its linear framework. In particular, the maximal class of distributions of error term for which the GMT holds is derived. Second, we establish a nonlinear version of the maximal GMT and describe some int