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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 4, Pages 30–55 (Mi chfmj35)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Finding of units for integer group rings of orders 16 and 32 cyclic groups

R. Zh. Aleevab, O. V. Mitinaab, T. A. Khanenkoa

a Chelyabinsk State University, Chelyabinsk, Russia
b South Ural State University (National Research University), Chelyabinsk, Russia
Full-text PDF (740 kB) Citations (3)
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Abstract: The groups of integer group rings units for cyclic groups of orders 16 and 32 are described. This description is obtained as a direct product of their subgroups. Generators of one of the subgroups are found for orders 16 and 32.
Keywords: group ring, group ring unit, cyclic group, primitive root, track, character.
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, T. A. Khanenko, “Finding of units for integer group rings of orders 16 and 32 cyclic groups”, Chelyab. Fiz.-Mat. Zh., 1:4 (2016), 30–55
Citation in format AMSBIB
\Bibitem{AleMitKha16}
\by R.~Zh.~Aleev, O.~V.~Mitina, T.~A.~Khanenko
\paper Finding of units for integer group rings of orders 16 and 32 cyclic groups
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 4
\pages 30--55
\mathnet{http://mi.mathnet.ru/chfmj35}
\elib{https://elibrary.ru/item.asp?id=27664291}
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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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