Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I

DOI10.1016/0021-8693(91)90095-PzbMath0717.20031OpenAlexW2069438603MaRDI QIDQ753957

Shang-Zhi Li

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90095-p

zbMATH Keywords

special linear groupssubgroups of classical groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07)

Related Items (8)

Invertible preservers and algebraic groups ⋮ On the description of overgroups of \(E(m,R)\otimes E(n,R)\). ⋮ Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSL_n(F) ⋮ Overgroups of a unitary group in \(GL(2,K)\) ⋮ Linear groups of degree four containing the subgroup \(\text{SL}_2(k)\otimes\text{SL}_2(k)\). ⋮ Maximal subgroups in the classical groups normalizing solvable subgroups ⋮ Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines

Cites Work

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• On the maximality of the orthogonal groups in the symplectic groups in characteristic two
• On the maximal subgroups of the finite classical groups
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• On subgroups of the special linear group containing the special orthogonal group
• Overgroups in GL(nr,F) of certain subgroups of SL(n,K). I
• Maximal subgroups of \(GL_{2n}(K), SL_{2n}(K), PGL_{2n}(K)\) and \(PSL_{2n}(K)\) associated with symplectic polarities
• Some subgroups of \(SI_ n(F_2)\)
• Some groups generated by transvections

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