Irreducible groups generated by transvections over finite fields of characteristic two

DOI10.1016/0021-8693(76)90080-6zbMath0336.20035OpenAlexW2046548296MaRDI QIDQ1230117

Harriet Pollatsek

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90080-6

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Linear algebraic groups and related topics (20G99)

Related Items

Maximal subgroups of symplectic groups stabilizing spreads, Subgroups of Classical Groups Generated by Long Root Elements, Almost cyclic elements in Weil representations of finite classical groups, Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block, (2,3)-Generation of sl(n,q). II. cases n ≥ 8, Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights, Finite groups, Image of the Artin groups of classical types inside the finite Iwahori-Hecke algebras, Generation of pairs of short root subgroups in Chevalley groups, Sets of Transvections Generating Subgroups Isomorphic to Special Linear Groups, Almost cyclic elements in cross-characteristic representations of finite groups of Lie type, Finite quotients of the pure symplectic braid group, Unnamed Item

Cites Work

• On finite groups generated by odd transpositions. IV
• Groups generated by elations
• Die Suzukigruppen und ihre Geometrien. Vorlesung Sommersemester 1965 in Mainz
• Some subgroups of \(SI_ n(F_2)\)
• Finite groups generated by 3-transpositions. I
• On Elations of Finite Projective Spaces of Even Order
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