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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 3, Pages 689–693 (Mi smj57)  
This article is cited in 6 scientific papers (total in 6 papers)

The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra

Yu. V. Sosnovskii

Novosibirsk State Pedagogical University
Full-text PDF (141 kB) Citations (6)
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Abstract: We describe the hypercentral structure of the group of unitriangular automorphisms of the polynomial algebra $K[x_1,\dots,x_n]$ for $n\ge 3$ and an arbitrary field $K$. This group is sometimes called the Borel group. The description implies the nonlinearity for this group over any field.
Keywords: hypercentral structure, automorphism group of a polynomial algebra, linearity.
Received: 01.02.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 3, Pages 555–558
DOI: https://doi.org/10.1007/s11202-007-0057-6
Bibliographic databases:
UDC: 512.54+512.55
Language: Russian
Citation: Yu. V. Sosnovskii, “The hypercentral structure of the group of unitriangular automorphisms of a polynomial algebra”, Sibirsk. Mat. Zh., 48:3 (2007), 689–693; Siberian Math. J., 48:3 (2007), 555–558
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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