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Sib. Èlektron. Mat. Izv., 2017, Volume 14, Pages 807–820
(Mi semr824)
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Mathematical logic, algebra and number theory
Generation of the Chevalley groups of type $E_l$ over the ring of integers by three involutions two of which commute
I. A. Timofeenko Siberian Federal University,
pr. Svobodny, 79,
660041, Krasnoyarsk, Russia
Abstract:
It is proved that adjoint Chevalley group of type $E_l$ over ring of integers is generated by three involutions. Two of these involutions are commute.
Keywords:
Chevalley group, ring of integers, generation involutions.
DOI:
https://doi.org/10.17377/semi.2017.14.068
Full text:
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Bibliographic databases:
UDC:
512.54
MSC: 20G15 Received June 17, 2016, published July 18, 2017
Citation:
I. A. Timofeenko, “Generation of the Chevalley groups of type $E_l$ over the ring of integers by three involutions two of which commute”, Sib. Èlektron. Mat. Izv., 14 (2017), 807–820
Citation in format AMSBIB
\Bibitem{Tim17}
\by I.~A.~Timofeenko
\paper Generation of the Chevalley groups of type $E_l$ over the ring of integers by three involutions two of which commute
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 807--820
\mathnet{http://mi.mathnet.ru/semr824}
\crossref{https://doi.org/10.17377/semi.2017.14.068}
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http://mi.mathnet.ru/eng/semr824 http://mi.mathnet.ru/eng/semr/v14/p807
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