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On the module structure of the ring of all integers of a p-adic number field
Published online by Cambridge University Press: 22 January 2016
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Let k be a p-adic number field and o be the ring of all integers of k. Let K/k be a cyclic ramified extension of prime degree p with Galois group G. Then the ring of all integers of K is o[G]-module. The purpose of this paper is to give a necessary and sufficient condition for o[G]-modale to be indecomposable.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1974
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