Maximal subgroups of the finite orthogonal and unitary groups stabilizing anisotropic subspaces

DOI10.1007/BF01246947zbMath0536.20031OpenAlexW2040853270MaRDI QIDQ791657

Roger H. Dye

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173570

zbMATH Keywords

hermitian formstabilizermaximal subgroupgroups generated by reflectionsanisotropic forms

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Quadratic forms over general fields (11E04)

Related Items

Imprimitive maximal subgroups of finite orthogonal groups, On the lattice of subgroups of chevalley groups containing a split maximal torus, The maximality of monomial subgroups of linear groups over division rings, Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. I
• On some maximal subgroups of the classical groups
• Maximal subgroups of the classical groups associated with non-isotropic subspaces of a vector space
• Determination of the finite primitive reflection groups over an arbitrary field of characteristic not two. II
• Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2. III
• Maximal subgroups of the orthogonal group over a field of characteristic two
• Some maximal subgroups of \(PSL(n,q)\), \(n\geq 3,\;q=2^r\)
• On the Arf invariant
• Collineation groups generated by homologies of order greater than 2
• Representations induced in an invariant subgroup