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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 2, Pages 3–11 (Mi timm218)  
This article is cited in 2 scientific papers (total in 2 papers)

On groups of central units of integral group rings of alternating groups

R. Zh. Aleev, V. V. Sokolov

South Ural State University
Full-text PDF (154 kB) Citations (2)
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Abstract: The basic aim of this paper is to completely describe groups of central units of integral group rings of alternating groups in the case when the group of central units has rank 1. The results are obtained in two stages. First, it is proved that the generator of the group of central units is local. Then, its exact value is found.
Keywords: group ring, alternating group, central unit, local unit, minimal central idempotent, irreducible character, exponent of group.
Received: 15.02.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 267, Issue 1, Pages S1–S9
DOI: https://doi.org/10.1134/S0081543809070013
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: R. Zh. Aleev, V. V. Sokolov, “On groups of central units of integral group rings of alternating groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 2, 2009, 3–11; Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S1–S9
Citation in format AMSBIB
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\by R.~Zh.~Aleev, V.~V.~Sokolov
\paper On groups of central units of integral group rings of alternating groups
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 2
\pages 3--11
\mathnet{http://mi.mathnet.ru/timm218}
\elib{https://elibrary.ru/item.asp?id=12878764}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 267
\issue , suppl. 1
\pages S1--S9
\crossref{https://doi.org/10.1134/S0081543809070013}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000274041900001}
Linking options:
  • https://www.mathnet.ru/eng/timm218
  • https://www.mathnet.ru/eng/timm/v15/i2/p3
    • This publication is cited in the following 2 articles:
    1. Vitor Araujo Garcia, Raul Antonio Ferraz, “Central units in some integral group rings”, Communications in Algebra, 49:9 (2021), 4000  crossref
    2. Sugandha Maheshwary, Inder Bir S. Passi, Indian Statistical Institute Series, Group Theory and Computation, 2018, 175  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :113
    References:68
    First page:5
     
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