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On the module structure of a p-extension over a
-adic number field
Published online by Cambridge University Press: 22 January 2016
Extract
Throughout this paper, let p be an odd prime. Let k be a -adic number field and
be the ring of all integers in k. Let K/k be a finite totally ramified Galois p-extension of degree pn with the Galois group G. Clearly the ring
of all integers in K is an
[G]-module. In the previous paper [4], we studied
[G]-module structure of
in a cyclic totally ramified p-extension, and we have obtained the condition for
to be an indecomposable
[G]-module.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1980
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