On groups with root system of type \(G_2\).

DOI10.1016/j.jalgebra.2007.10.003zbMath1163.20021OpenAlexW1999288751MaRDI QIDQ2470397

H. Oueslati

Publication date: 14 February 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.10.003

zbMATH Keywords

root systemsChevalley groupsrank one groupsChevalley commutator relationsgeneralized Steinberg presentationsLie-type groupsMoufang hexagons

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Cites Work

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• Presentations for certain Chevalley groups
• Theory of finite groups. An introduction
• Groups with root system of type \(B_\ell\), \(C_\ell\) or \(F_4\).
• Steinberg-type presentation for Lie-type groups.
• Groups with root system of type \(G_2\).
• On the Steinberg-presentation for Lie-type groups

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