The Curtis-Tits-presentation.

DOI10.1016/j.aim.2003.11.005zbMath1113.20029OpenAlexW1995344984MaRDI QIDQ1887446

Franz G. Timmesfeld

Publication date: 26 November 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.11.005

zbMATH Keywords

amalgamated productsCurtis-Tits presentationsgroups of Lie-typefundamental systems of rootsirreducible spherical Moufang buildingsroot-subgroups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Buildings and the geometry of diagrams (51E24) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups with a (BN)-pair; buildings (20E42)

Related Items (10)

Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram ⋮ Curtis-Tits groups of simply-laced type ⋮ Locally quadratic modules and minuscule representations ⋮ Curtis-Tits groups generalizing Kac-Moody groups of type \(\widetilde A_{n-1}\). ⋮ A generic identification theorem for \(L^*\)-groups of finite Morley rank. ⋮ Subgroups of Lie type groups containing the center of a unipotent radical. ⋮ On 2-spherical Kac-Moody groups and their central extensions ⋮ The local recognition of reflection graphs of spherical Coxeter groups ⋮ A Curtis-Tits-Phan theorem for the twin-building of type \(A_{n-1}\) ⋮ Signalizers and balance in groups of finite Morley rank.

Cites Work

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• Buildings of spherical type and finite BN-pairs
• Structure and Presentations of Lie-Type Groups
• On the Steinberg-presentation for Lie-type groups
• Central extensions of groups of Lie type.

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