Generation of the Chevalley group of type $G_2$ over the ring of integers by~three involutions two of which commute
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 1, pp. 104-108
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It is proved that $G_2(\mathbb{Z})$ is generated by three involutions. Two of these involutions commute.
Keywords:
ring of integers, generating involutions, Chevalley group.
@article{JSFU_2015_8_1_a12,
author = {Ivan A. Timofeenko},
title = {Generation of the {Chevalley} group of type $G_2$ over the ring of integers by~three involutions two of which commute},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {104--108},
publisher = {mathdoc},
volume = {8},
number = {1},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2015_8_1_a12/}
}
TY - JOUR AU - Ivan A. Timofeenko TI - Generation of the Chevalley group of type $G_2$ over the ring of integers by~three involutions two of which commute JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2015 SP - 104 EP - 108 VL - 8 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2015_8_1_a12/ LA - en ID - JSFU_2015_8_1_a12 ER -
%0 Journal Article %A Ivan A. Timofeenko %T Generation of the Chevalley group of type $G_2$ over the ring of integers by~three involutions two of which commute %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2015 %P 104-108 %V 8 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2015_8_1_a12/ %G en %F JSFU_2015_8_1_a12
Ivan A. Timofeenko. Generation of the Chevalley group of type $G_2$ over the ring of integers by~three involutions two of which commute. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 8 (2015) no. 1, pp. 104-108. http://geodesic.mathdoc.fr/item/JSFU_2015_8_1_a12/