Algebraic structures related to universal covers of special rank one groups.

DOI10.1016/j.jalgebra.2009.03.005zbMath1230.20030OpenAlexW2002181733MaRDI QIDQ837033

Franz G. Timmesfeld

Publication date: 10 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.005

zbMATH Keywords

presentationscentral extensionsMoufang setsrank one groupsroot subgroupsAbelian unipotent subgroupsalgebraic groups of rank onerank one covers

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Buildings and the geometry of diagrams (51E24) Extensions, wreath products, and other compositions of groups (20E22) Jordan structures associated with other structures (17C50) Groups with a (BN)-pair; buildings (20E42)

Cites Work

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• Abstract root subgroups and quadratic action. With an Appendix by A. E. Zalesskii
• Moufang sets and Jordan division algebras
• Identities in Moufang sets
• Quadratic rank-one groups and quadratic Jordan division algebras
• On the action of the Hua subgroups in special Moufang sets
• Special Moufang sets, their root groups and their μ-maps

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