Expander graphs from Curtis-Tits groups.

DOI10.1016/j.jcta.2011.10.007zbMath1268.20052arXiv1009.0667OpenAlexW2089856104MaRDI QIDQ662026

Rieuwert J. Blok, Corneliu G. Hoffman, Alina Vdovina

Publication date: 11 February 2012

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0667

zbMATH Keywords

amalgamsexpander graphsCurtis-Tits groupsnon-uniform latticesunitary groups over finite fields

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) 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

Curtis-Tits groups generalizing Kac-Moody groups of type \(\widetilde A_{n-1}\)., A Curtis-Tits-Phan theorem for the twin-building of type \(A_{n-1}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Suzuki groups as expanders.
• Cohomology of buildings and of their automorphism groups.
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• Abstract simplicity of non-affine Kac-Moody groups.
• Abstract involutions of algebraic groups and of Kac–Moody groups
• An application of the Morse theory to the topology of Lie-groups
• Sur les immeubles fuchsiens et leur type de quasi-isométrie
• A new proof of a theorem of Phan
• Finite simple groups as expanders