Groups generated by \(k\)-root subgroups

DOI10.1007/BF01243925zbMath0794.20057MaRDI QIDQ1191353

Franz G. Timmesfeld

Publication date: 27 September 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143954

zbMATH Keywords

algebraic groupsgraphsbuildingquasisimple grouproot subgroupsnilpotent normal subgrouproot-group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Groups with a (BN)-pair; buildings (20E42)

Related Items

Subgroups generated by root-elements of groups generated by \(k\)-root subgroups, Geometry of root elements in groups of type $\mathrm E_{6}$, Reduction theorems for triples of short root subgroups in Chevalley groups, On subgroups of the general linear group over the skew field of quaternions containing the special unitary group, Geometry of 1-tori in $\mathrm {GL}_n$, Subsystem subgroups of the group of type $\mathrm {F}_4$ generated by short root subgroups, Strong quadratic modules, Generation of pairs of short root subgroups in Chevalley groups, Irreducible Linear Groups of Degree Four over a Quaternion Division Algebra that Contain a Root Subgroup, Abstract root subgroups and quadratic action. With an Appendix by A. E. Zalesskii, On Linear Groups of Degree 2nContaining a Representation of the Special Linear Group of Degreen, Subgroups of symplectic groups that contain a subsystem subgroup., Completely Reducible Linear Groups Over a Quaternion Division Algebra that Contain a Root Subgroup

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