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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 492, Pages 45–60 (Mi znsl6949)  
Commutator lengths in general linear group over a skew-field

P. B. Gvozdevsky

Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
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Abstract: We give an upper and lower estimate for the maximal commutator length of a noncentral element of the elementary subgroup of the general linear group over a skew-field based on the maximal commutator length of an element of the multiplicative group of that skew-field.
Key words and phrases: commutator length, general linear group, skew-fields, Gauss decomposition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1620
Gazprom Neft
Received: 31.05.2020
Document Type: Article
UDC: 512.743
Language: Russian
Citation: P. B. Gvozdevsky, “Commutator lengths in general linear group over a skew-field”, Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 492, POMI, St. Petersburg, 2020, 45–60
Citation in format AMSBIB
\Bibitem{Gvo20}
\by P.~B.~Gvozdevsky
\paper Commutator lengths in general linear group over a skew-field
\inbook Problems in the theory of representations of algebras and groups. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 492
\pages 45--60
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6949}
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  • https://www.mathnet.ru/eng/znsl/v492/p45
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