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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 622–639
DOI: https://doi.org/10.33048/semi.2021.18.045 (Mi semr1386) 		 
Mathematical logic, algebra and number theory

Groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups

E. O. Shumakova

South Ural State Humanitarian Pedagogical University, 69, Lenina ave., Chelyabinsk, 454080, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.045
Abstract: We describe groups of central units of integral group rings of Frobenius metacyclic groups of orders 39 and 156, and thus complete the study on groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups for the case when $m$ is a prime number.
Keywords: Frobenius group, metacyclic group, central units, integral group rings.
Funding agency
The work is supported by Shadrinsk State Pedagogical University (agreement on research performance 16-468 from 14.09.2020 and application ShK-022-21).
Received October 9, 2020, published June 3, 2021
Bibliographic databases:
Document Type: Article
UDC: 512.552.7
MSC: 16S34
Language: English
Citation: E. O. Shumakova, “Groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 622–639
Citation in format AMSBIB
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\by E.~O.~Shumakova
\paper Groups of central units of rank 1 of integral group rings of Frobenius metacyclic groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 622--639
\mathnet{http://mi.mathnet.ru/semr1386}
\crossref{https://doi.org/10.33048/semi.2021.18.045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000674351000001}
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