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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2016 Volume 22, Number 3, Pages 251–258 (Mi timm1341)

On Coxeter graphs of groups with symplectic 3-transpositions

A. I. Sozutov, V. M. Sinitsin

Siberian Federal University, Krasnoyarsk

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.

UDC: 512.54, 519.1

MSC: 20F05

Received: 10.12.2015

DOI: 10.21538/0134-4889-2016-22-3-251-258



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© Steklov Math. Inst. of RAS, 2024