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Zapiski Nauchnykh Seminarov 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
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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.
Received: 18.04.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 2, Pages 122–129
DOI: https://doi.org/10.1007/s10958-018-3987-6
Document Type: Article
UDC: 511.221
Language: English
Citation: T. Hakobyan, “On the reduced group of principal units in cyclic extensions of local fields”, Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, POMI, St. Petersburg, 2017, 14–24; J. Math. Sci. (N. Y.), 234:2 (2018), 122–129
Citation in format AMSBIB
\Bibitem{Hak17}
\by T.~Hakobyan
\paper On the reduced group of principal units in cyclic extensions of local fields
\inbook Problems in the theory of representations of algebras and groups. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 455
\pages 14--24
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6402}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 2
\pages 122--129
\crossref{https://doi.org/10.1007/s10958-018-3987-6}
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