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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

Yoshimasa Miyata
Yoshimasa Miyata*
Affiliation:
Faculty of Education, Shizuoka University
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 54 , July 1974 , pp. 53 - 59
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

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