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Some Problems of Galois Module Structure for Wild Extensions

✍ Scribed by Frohlich, A.


Book ID
120101260
Publisher
Oxford University Press
Year
1978
Tongue
English
Weight
457 KB
Volume
s3-37
Category
Article
ISSN
0024-6115

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Let K be a finite extension of Q p , and suppose that KΓ‚Q p is ramified and that the residue field of K has cardinality at least 3. Let K (2) be the second division field of K with respect to a Lubin Tate formal group, and let 1 =Gal(K (2) Γ‚K). We determine the associated order in K1 of the valuatio

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For a finite unramified Galois -extension of function fields over an algebraically closed field of characteristic different from , we find the Galois module structure of the elements of the Jacobian whose orders are powers of .