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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 4, Pages 8–29 (Mi chfmj34)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$

R. Zh. Aleevab, O. V. Mitinaab, E. A. Khristenkoa

a Chelyabinsk State University, Chelyabinsk, Russia
b South Ural State University, Chelyabinsk, Russia
Full-text PDF (806 kB) Citations (3)
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Abstract: In this paper the behavior of units (invertible elements) of the rings of integer of 2-circular fields is studied. In particular, the comparability of modulo 2 for the circular units of fields $Q_{16}$ и $Q_{32}$ is considered.
Keywords: group ring, group ring unit, cyclic group, primitive root.
Received: 21.10.2016
Revised: 07.11.2016
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: R. Zh. Aleev, O. V. Mitina, E. A. Khristenko, “Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$”, Chelyab. Fiz.-Mat. Zh., 1:4 (2016), 8–29
Citation in format AMSBIB
\Bibitem{AleMitKhr16}
\by R.~Zh.~Aleev, O.~V.~Mitina, E.~A.~Khristenko
\paper Congruence modulo 2 of circular units in the fields $Q_{16}$ and $Q_{32}$
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 4
\pages 8--29
\mathnet{http://mi.mathnet.ru/chfmj34}
\elib{https://elibrary.ru/item.asp?id=27664290}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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