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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 4, Pages 33–39 (Mi fpm1527)  
Decomposition of unitary linear groups into products of free factors

E. I. Buninaa, D. V. Trushinb, M. V. Tsvetkova

a Lomonosov Moscow State University, Moscow, Russia
b Hebrew University of Jerusalem, Jerusalem, Israel
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Abstract: In this paper, we construct noncommutative algebras over a square-closed field such that the unitary linear groups over these algebras decompose to nontrivial free products. In particular, we give an example when the elementary unitary subgroup belongs to one of these factors.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 206, Issue 6, Pages 629–633
DOI: https://doi.org/10.1007/s10958-015-2339-z
Bibliographic databases:
Document Type: Article
UDC: 512.552.13+512.743
Language: Russian
Citation: E. I. Bunina, D. V. Trushin, M. V. Tsvetkov, “Decomposition of unitary linear groups into products of free factors”, Fundam. Prikl. Mat., 18:4 (2013), 33–39; J. Math. Sci., 206:6 (2015), 629–633
Citation in format AMSBIB
\Bibitem{BunTruTsv13}
\by E.~I.~Bunina, D.~V.~Trushin, M.~V.~Tsvetkov
\paper Decomposition of unitary linear groups into products of free factors
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 4
\pages 33--39
\mathnet{http://mi.mathnet.ru/fpm1527}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431830}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 206
\issue 6
\pages 629--633
\crossref{https://doi.org/10.1007/s10958-015-2339-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84956796451}
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    		Фундаментальная и прикладная математика
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