Overgroups of a unitary group in \(GL(2,K)\)

DOI10.1016/0021-8693(92)90016-FzbMath0790.20068MaRDI QIDQ1194036

Shang-Zhi Li

Publication date: 27 September 1992

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

zbMATH Keywords

maximal subgroupsunitary groupdivision ring

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)

Related Items (8)

Overgroups of symplectic group in linear group over commutative rings. ⋮ Overgroups of classical groups over commutative rings in linear group. ⋮ Overgroups of elementary symplectic groups ⋮ Overgroups of exterior powers of an elementary group. levels ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ Unnamed Item ⋮ Overgroups of the elementary unitary group in linear group over commutative rings. ⋮ Overgroups of $\text {\rm F}_4$ in $\text {\rm E}_6$ over commutative rings

Cites Work

• On the maximality of the orthogonal groups in the symplectic groups in characteristic two
• Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I
• A new type of classical groups over skew-fields of characteristic 2
• On the maximal subgroups of the finite classical groups
• Overgroups of SU(n,K,f) or \(\Omega\) (n,K,Q) in GL(n,K)
• On subgroups of the special linear group containing the special orthogonal group
• On subgroups of the special linear group containing the special unitary 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
• The maximal subgroups of classical algebraic groups
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