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Local extensions associated with theι-extensions of number fields with bounded ramification

✍ Scribed by V. G. Mukhamedov

Publisher
SP MAIK Nauka/Interperiodica
Year
1984
Tongue
English
Weight
439 KB
Volume
35
Category
Article
ISSN
0001-4346

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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