A characterization of \(SL_ 2(k)\) by its quadratic action on the natural module

DOI10.1007/BF01207539zbMath0810.20037OpenAlexW2160393407MaRDI QIDQ1312354

Hans Cuypers

Publication date: 17 April 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01207539

zbMATH Keywords

skew fieldCayley division algebratransvection subgroupsquadratic actiongroups generated by \(k\)-transvection groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65)

Related Items (1)

Geometry of 1-tori in $\mathrm {GL}_n$

Cites Work

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• A characterization of \(\text{SL}(2,p^n)\), \(p\geq 5\).
• Groups generated by k-transvections
• Quadratic action and the natural module for \(SL_ 2(k)\)
• Symplectic geometries, transvection groups, and modules
• On quadratic GF(2)-modules for Chevalley groups over fields of odd order
• Graphs, Geometry, 3-Transpositions, and Symplectic F ₂ -Transvection Groups

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