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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 251–258
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-251-258 (Mi timm1341) 		 
On Coxeter graphs of groups with symplectic 3-transpositions

A. I. Sozutov, V. M. Sinitsin

Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-251-258
Abstract: We find and describe minimal systems of 3-transpositions that generate the groups $Sp_{2n}(2)$ and $O^\pm_{2n}(2)$ whose Coxeter graphs are trees.
Keywords: groups with symplectic 3-transpositions, defining relations, Coxeter graphs and groups.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04897 A
Received: 10.12.2015
Bibliographic databases:
Document Type: Article
UDC: 512.54, 519.1
MSC: 20F05
Language: Russian
Citation: A. I. Sozutov, V. M. Sinitsin, “On Coxeter graphs of groups with symplectic 3-transpositions”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 251–258
Citation in format AMSBIB
\Bibitem{SozSin16}
\by A.~I.~Sozutov, V.~M.~Sinitsin
\paper On Coxeter graphs of groups with symplectic 3-transpositions
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 3
\pages 251--258
\mathnet{http://mi.mathnet.ru/timm1341}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-3-251-258}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3555730}
\elib{https://elibrary.ru/item.asp?id=26530900}
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