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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 1, Pages 155–168 (Mi fpm1394)  

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

The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups

V. M. Levchuka, G. S. Suleimanovab

a Siberian Federal University, Krasnoyarsk
b Khakas Technical Institute, Siberian Federal University, Abakan
Full-text PDF (187 kB) Citations (2)
References:
Abstract: We study the normal structure of the unipotent radical $U$ of a Borel subgroup in a Lie type group over a field $K$. Thus, all maximal Abelian normal subgroups in $U$ are described. This gives a new solution of C. Parker and P. Rowley's problem about extremal subgroups in $U$ and the description in finite groups $U$ of the large normal (and, as proved, also normal large) Abelian subgroups.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 3, Pages 448–457
DOI: https://doi.org/10.1007/s10958-012-0927-8
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: V. M. Levchuk, G. S. Suleimanova, “The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups”, Fundam. Prikl. Mat., 17:1 (2012), 155–168; J. Math. Sci., 185:3 (2012), 448–457
Citation in format AMSBIB
\Bibitem{LevSul12}
\by V.~M.~Levchuk, G.~S.~Suleimanova
\paper The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 1
\pages 155--168
\mathnet{http://mi.mathnet.ru/fpm1394}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 185
\issue 3
\pages 448--457
\crossref{https://doi.org/10.1007/s10958-012-0927-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866314511}
Linking options:
  • https://www.mathnet.ru/eng/fpm1394
  • https://www.mathnet.ru/eng/fpm/v17/i1/p155
  • 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
    Фундаментальная и прикладная математика
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    Abstract page:504
    Full-text PDF :173
    References:65
    First page:2
     
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