Odd-dimensional orthogonal groups as amalgams of unitary groups. II: Machine computations.

DOI10.1016/j.jalgebra.2007.03.035zbMath1136.20038OpenAlexW1881604211MaRDI QIDQ2464493

Max Horn, Ralf Köhl (né Gramlich), Werner Nickel

Publication date: 21 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.035

zbMATH Keywords

presentationsorthogonal groupsamalgamsgroups of Lie typesimple Chevalley groupstwin buildingsCurtis-Tits theoremPhan theoremPhan geometries

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) 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

Odd-dimensional orthogonal groups as amalgams of unitary groups. I: General simple connect\-ed\-ness. ⋮ Curtis-Tits groups generalizing Kac-Moody groups of type \(\widetilde A_{n-1}\). ⋮ The sphericity of the Phan geometries of type $B_n$ and $C_n$ and the Phan-type theorem of type $F_4$ ⋮ On the Phan system of the Schur cover of \(\mathrm{SU}(4,3^2)\)

Uses Software

• GAP
• Cohomolo
• ACE

Cites Work

• The second degree cohomology of finite orthogonal groups. II
• Two-graphs and doubly transitive groups
• Odd-dimensional orthogonal groups as amalgams of unitary groups. I: General simple connect\-ed\-ness.
• Finite groups generated by 3-transpositions. I
• INTRANSITIVE GEOMETRIES
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