Quadratic rank-one groups and quadratic Jordan division algebras

DOI10.1112/plms/pdm006zbMath1122.20014OpenAlexW2014736120MaRDI QIDQ5297626

Franz G. Timmesfeld

Publication date: 12 July 2007

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdm006

zbMATH Keywords

algebraic groupsnilpotent subgroupsrank 1 groupssplit BN-pairs of rank 1Jordan division algebras

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Buildings and the geometry of diagrams (51E24) Jordan structures associated with other structures (17C50) Groups with a (BN)-pair; buildings (20E42)

Related Items (7)

Special Moufang sets coming from quadratic Jordan division algebras ⋮ Algebraic structures related to universal covers of special rank one groups. ⋮ Cubic Action of a Rank one Group ⋮ Quadratic pairs without commuting root-subgroups. ⋮ On subgroups of orthogonal groups of isotropic quadratic forms. ⋮ On Linear Groups of Degree 2 Over a Noncommutative Division Algebra ⋮ Proper Moufang sets with abelian root groups are special

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