Some subgroups of \(\Omega\)(V) generated by groups of root type

DOI10.1016/0021-8693(74)90108-2zbMath0277.20059OpenAlexW2128748962MaRDI QIDQ1393488

Betty Salzberg Stark

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90108-2

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Commutator calculus (20F12)

Related Items

Reduction theorems for triples of short root subgroups in Chevalley groups, Subgroups of a spinor group containing a maximal split torus. I, Geometry of 1-tori in $\mathrm {GL}_n$, Subsystem subgroups of the group of type $\mathrm {F}_4$ generated by short root subgroups, Generation of pairs of short root subgroups in Chevalley groups, Linear groups of degree 3 over a field that contain a one-parametric group of elements with minimal polynomial (x−1)3

Cites Work

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• Some groups generated by transvections
• Some subgroups of \(\Omega (V)\) generated by groups of root type 1
• Sur certains groupes simples
• On Some Simple Groups Defined by C. Chevalley
• On the Structure of Orthogonal Groups