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Chelyab. Fiz.-Mat. Zh., 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

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 $Q_{16}$ $Q_{32}$ is considered.

Keywords: group ring, group ring unit, cyclic group, primitive root.

Full text: PDF file (806 kB)
References: PDF file   HTML file
UDC: 512.5
Received: 21.10.2016
Revised: 07.11.2016

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. R. Zh. Aleev, O. V. Mitina, T. A. Khanenko, “Nakhozhdenie edinits tselochislennykh gruppovykh kolets tsiklicheskikh grupp poryadkov 16 i 32”, Chelyab. fiz.-matem. zhurn., 1:4 (2016), 30–55  mathnet  elib
    2. R. Zh. Aleev, O. V. Mitina, T. A. Khanenko, “Opisanie gruppy edinits tselochislennogo gruppovogo koltsa tsiklicheskoi gruppy poryadka $16$”, Tr. IMM UrO RAN, 23, no. 4, 2017, 32–42  mathnet  crossref  elib
    3. R. Zh. Aleev, O. V. Mitina, T. A. Khanenko, “Lokalnye edinitsy tselochislennogo gruppovogo koltsa tsiklicheskoi gruppy poryadka 64 dlya kharaktera s polem kharaktera ${\mathbb Q}_{64}$”, Chelyab. fiz.-matem. zhurn., 3:3 (2018), 253–275  mathnet  crossref  elib
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