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On the module structure in a cyclic extension over a
-adic number field
Published online by Cambridge University Press: 22 January 2016
Extract
Let p be a prime. Let k be a -adic number field and
be the ring of all integers of k. Let K/k be a cyclic totally ramified extension of degree pn with Galois group G. Clealy the ring
of all integers of K is an
[G]-module, and the purpose of this paper is to give a necessary and sufficient condition for the
[G]-module
to be indecomposable.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1979
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