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

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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 386, Pages 242–264 (Mi znsl3914)

This article is cited in 9 scientific papers (total in 9 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 (9)

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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

The geometry of root elements in groups of type $\mathrm E_6$
I. M. Pevzner
Algebra i Analiz, 2011, 23:3, 261–309
Width of groups of type $\mathrm E_6$ with respect to root elements. I
I. M. Pevzner
Algebra i Analiz, 2011, 23:5, 155–198
Width of groups of type $\mathrm E_6$ with respect to root elements. II
I. M. Pevzner
Zap. Nauchn. Sem. POMI, 2011, 386, 242–264

This publication is cited in the following 9 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	333
Full-text PDF :	84
References:	75

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