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Indecomposability of ideals of p-adic number fields

✍ Scribed by Yoshimasa Miyata

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 207 KB
Volume: 107
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.03.001

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✦ Synopsis

Let K=k be a Galois p-extension over a p-adic number field k and G 1 be the first ramification group. We show that any ideal A of K is absolutely oG-indecomposable if and only if the order jG 1 j does not divide the different D K=k :

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