On the Reduced Group of Principal Units in Cyclic Extensions of Local Fields


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Abstract

The reduced group of principal units of cyclic extensions of local fields is considered as a Galois module. This module is studied by examining the Jordan canonical form of the generating automorphism of the Galois group.

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T. Hakobyan

St. Petersburg State University

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Email: tigran19931026@gmail.com
Russian Federation, St. Petersburg

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