A Curtis-Tits-Phan theorem for the twin-building of type \(A_{n-1}\)

DOI10.1016/j.jalgebra.2008.11.025zbMath1175.51007arXiv0907.1388OpenAlexW2041267507MaRDI QIDQ1014598

Rieuwert J. Blok, Corneliu G. Hoffman

Publication date: 29 April 2009

Published in: Journal of Algebra, Groups of Exceptional Type, Coxeter Groups and Related Geometries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1388

zbMATH Keywords

groups with BN-pairsgraphs of groupstwin buildingKac-Moody groupstwin buildingsBass-Serre theoryamalgamCurtis-Tits amalgamsuniversal completionflip-flop geometryweak Phan systemsimply-laced diagrams

Mathematics Subject Classification ID

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) Kac-Moody groups (20G44)

Related Items (5)

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 \(\widetilde A_{n-1}\). ⋮ 1-cohomology of simplicial amalgams of groups. ⋮ A Curtis-Tits-Phan theorem for the twin-building of type \(A_{n-1}\)

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