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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2017 Volume 455, Pages 14–24 (Mi znsl6402)

On the reduced group of principal units in cyclic extensions of local fields

T. Hakobyan

St. Petersburg State University, Universitetskaya nab. 7/9, 199034, St. Petersburg, Russia

Abstract: In this paper, the structure of reduced group of main units of cyclic extensions of local fields as a Galois module is studied by examining the Jordan canonical form of the generating automorphism of Galois group.

Key words and phrases: local field, Galois group, group of principal units, totally ramified extension, unramified extension, norm group of an extension, Jordan canonical form.

UDC: 511.221

Received: 18.04.2017

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2018, 234:2, 122–129


© Steklov Math. Inst. of RAS, 2024