On Coxeter graphs of groups with symplectic 3-transpositions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 251-258
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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.
@article{TIMM_2016_22_3_a25,
author = {A. I. Sozutov and V. M. Sinitsin},
title = {On {Coxeter} graphs of groups with symplectic 3-transpositions},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {251--258},
publisher = {mathdoc},
volume = {22},
number = {3},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a25/}
}
TY - JOUR AU - A. I. Sozutov AU - V. M. Sinitsin TI - On Coxeter graphs of groups with symplectic 3-transpositions JO - Trudy Instituta matematiki i mehaniki PY - 2016 SP - 251 EP - 258 VL - 22 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a25/ LA - ru ID - TIMM_2016_22_3_a25 ER -
A. I. Sozutov; V. M. Sinitsin. On Coxeter graphs of groups with symplectic 3-transpositions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 251-258. http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a25/