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Matematicheskie Trudy, 2000, Volume 3, Number 2, Pages 3–28 (Mi mt165)  

This article is cited in 2 scientific papers (total in 2 papers)

Higman Numbers of Finite Groups

R. Zh. Aleev
Full-text PDF (342 kB) Citations (2)
Abstract: In this article, the relation is clarified between the units of character fields and the central units of integer group rings. The notion of the Higman number of a finite group is introduced and several ways of finding the Higman numbers are analyzed. For various field classes, we derive exponents of unit groups of factor rings of the integer ring by principal ideals generated by naturals. On this basis, we obtain some results on divisibility of the Higman numbers.
Key words: group ring, unit group of a group ring, units of algebraic number fields.
Received: 05.05.1999
Bibliographic databases:
UDC: 512.552.7+511.625
Language: Russian
Citation: R. Zh. Aleev, “Higman Numbers of Finite Groups”, Mat. Tr., 3:2 (2000), 3–28; Siberian Adv. Math., 11:2 (2001), 1–24
Citation in format AMSBIB
\Bibitem{Ale00}
\by R.~Zh.~Aleev
\paper Higman Numbers of Finite Groups
\jour Mat. Tr.
\yr 2000
\vol 3
\issue 2
\pages 3--28
\mathnet{http://mi.mathnet.ru/mt165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1804359}
\zmath{https://zbmath.org/?q=an:0993.16023|0979.16020}
\transl
\jour Siberian Adv. Math.
\yr 2001
\vol 11
\issue 2
\pages 1--24
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:249
    Full-text PDF :103
    First page:1
     
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