Linear groups generated by a pair of quadratic action subgroups

DOI10.1007/BF01193775zbMath0532.20028MaRDI QIDQ788839

N. E. Zubov

Publication date: 1985

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

zbMATH Keywords

group of linear transformationsminimal polynomialsemidirect productfinite linear groupsquadratic element

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Commutator calculus (20F12)

Related Items (2)

Geometry of 1-tori in $\mathrm {GL}_n$ ⋮ Research topics in finite groups and vertex algebras

Cites Work

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• A characterization of \(\text{SL}(2,p^n)\), \(p\geq 5\).
• On the quadratic pairs
• Linear transformation and collineation of finite translation planes
• Baer p-elements in translation planes
• Linear transformations and collineations of translation planes
• Quadratic elements in unipotent linear groups
• On shears of translation planes
• Quadratic pairs for 3 whose root group has order greater than 3,i
• Uber Endliche Gruppen Mit Einer ZU L 2 (2 n ) Isomorphen Faktorgruppe
• A Condition for the Existence of a Strongly Embedded Subgroup
• On conjugacy classes of p-elements

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