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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.
Received: 10.12.2015
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
Linking options:
https://www.mathnet.ru/eng/timm1341 https://www.mathnet.ru/eng/timm/v22/i3/p251
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Abstract page: | 282 | Full-text PDF : | 74 | References: | 58 | First page: | 5 |
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