Subgroups of rank one groups

DOI10.1006/jabr.2000.8555zbMath1025.20019OpenAlexW2051657236MaRDI QIDQ1841831

Franz G. Timmesfeld

Publication date: 21 September 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8555

zbMATH Keywords

root systemsgroups of Lie typeuniversal central extensionsMoufang setsunipotent subgroupsroot subgroupsgroups with \(BN\)-pairs

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Nilpotent groups (20F18) Buildings and the geometry of diagrams (51E24) Simple groups: alternating groups and groups of Lie type (20D06) Groups with a (BN)-pair; buildings (20E42)

Cites Work

• Abstract root subgroups and quadratic action. With an Appendix by A. E. Zalesskii
• Structure and Presentations of Lie-Type Groups
• Moufang planes and the groups E K 6and SL 2 (K), Ka Cayley division algebra
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