Galois加群としてのF^x/F^<xn>の分解

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Abstract

A direct sum decomposition of the Galois module F^x / F^<xn> is given for an arbitrary finite Galois extension F/Fo, [Fo:Q] < ∞, where each summand is indecomposable and of finite length. In the case where F/Fo is a cyclic p-extension the summands of F^x / F^<xp> are determined explcitly.

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