Steinberg-type presentation for Lie-type groups.

DOI10.1016/j.jalgebra.2005.04.031zbMath1192.20034OpenAlexW2078999181WikidataQ115351640 ScholiaQ115351640MaRDI QIDQ2498869

Franz G. Timmesfeld

Publication date: 16 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.04.031

zbMATH Keywords

groups of Lie typeSteinberg presentationsgroups generated by abstract root subgroupsspherical root systems

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) Simple groups: alternating groups and groups of Lie type (20D06) Groups with a (BN)-pair; buildings (20E42)

Related Items (7)

Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram ⋮ Curtis-Tits groups of simply-laced type ⋮ Curtis-Tits groups generalizing Kac-Moody groups of type \(\widetilde A_{n-1}\). ⋮ On groups with root system of type \(G_2\). ⋮ Subgroups of Lie type groups containing the center of a unipotent radical. ⋮ Subgroups of Lie type groups containing a unipotent radical. ⋮ A Curtis-Tits-Phan theorem for the twin-building of type \(A_{n-1}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Groups with root system of type \(B_\ell\), \(C_\ell\) or \(F_4\).
• On the Steinberg presentation for Lie-type groups of type \(C_2\)
• Groups with a central factor of Lie type
• A remark on presentations of certain Chevalley groups.
• Groups with root-system of type \(BC_\ell\)
• Groups with root system of type \(G_2\).
• On the Steinberg-presentation for Lie-type groups

This page was built for publication: Steinberg-type presentation for Lie-type groups.