On the maximality of the orthogonal groups in the symplectic groups in characteristic two

DOI10.1007/BF01215085zbMath0415.20033OpenAlexW2082201977MaRDI QIDQ599923

Roger H. Dye

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/172958

zbMATH Keywords

maximal subgroupgroup of orthogonal simulitudes of a nondegenerate quadratic formsymplectic simulitudes

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Maximal subgroups (20E28) Quadratic forms over general fields (11E04) Classical groups (11E57) General binary quadratic forms (11E16)

Related Items (13)

Maximal subgroups of symplectic groups stabilizing spreads ⋮ Overgroups of elementary symplectic groups ⋮ Overgroups of exterior powers of an elementary group. levels ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ Relative \(m\)-ovoids of elliptic quadrics ⋮ Overgroups of a unitary group in \(GL(2,K)\) ⋮ Linear groups ⋮ Finite groups ⋮ Overgroups of $\text {\rm F}_4$ in $\text {\rm E}_6$ over commutative rings ⋮ Subgroups of the special linear group containing the diagonal subgroup ⋮ Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines ⋮ On subgroups of the special linear group containing the special orthogonal group

Cites Work

• Interrelations of symplectic and orthogonal groups in characteristic two
• First cohomology groups of some linear groups over fields of characteristic two
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