Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2011, Volume 386, Pages 242–264 (Mi znsl3914)  
This article is cited in 8 scientific papers (total in 8 papers)

Width of groups of type $\mathrm E_6$ with respect to root elements. II

I. M. Pevzner

Herzen State Pedagogical University of Russia, St. Petersburg
Full-text PDF (685 kB) Citations (8)
References:
PDF
HTML
Abstract: We consider simply-connected and adjoint groups of type $\mathrm E_6$ over fields. Let $K$ be a field such that every polynomial of degree at most 6 has a root in $K$. We prove that every element of an adjoint group of type $\mathrm E_6$ over $K$ can be written as a product of at most seven root elements. Bibl. 59 titles.
Key words and phrases: Chevalley groups, exceptional groups, width of group, root elements.
Received: 29.11.2010
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 180, Issue 3, Pages 338–350
DOI: https://doi.org/10.1007/s10958-011-0647-5
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: I. M. Pevzner, “Width of groups of type $\mathrm E_6$ with respect to root elements. II”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 242–264; J. Math. Sci. (N. Y.), 180:3 (2012), 338–350
Citation in format AMSBIB
\Bibitem{Pev11}
\by I.~M.~Pevzner
\paper Width of groups of type $\mathrm E_6$ with respect to root elements.~II
\inbook Problems in the theory of representations of algebras and groups. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 386
\pages 242--264
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3914}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 180
\issue 3
\pages 338--350
\crossref{https://doi.org/10.1007/s10958-011-0647-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855926530}
Linking options:
  • https://www.mathnet.ru/eng/znsl3914
  • https://www.mathnet.ru/eng/znsl/v386/p242
    Cycle of papers
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:297
    Full-text PDF :75
    References:65
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024