On linear groups containing the commutator subgroup of an orthogonal group of index greater than 1

DOI10.1007/BF00970984zbMath0787.20029MaRDI QIDQ1204764

Evgenii L. Bashkirov

Publication date: 28 March 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

orthogonal groupcommutator subgroupintermediate group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Commutator calculus (20F12)

Related Items (9)

Linear groups containing a root subgroup ⋮ Overgroups of elementary symplectic groups ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ On subgroups of the general linear group over the skew field of quaternions containing the special unitary group ⋮ Linear groups of degree four containing the subgroup \(\text{SL}_2(k)\otimes\text{SL}_2(k)\). ⋮ On subgroups of the group \(GL_7\) over a field that contain a Chevalley group of type \(G_2\) over a subfield. ⋮ On subgroups of orthogonal groups of isotropic quadratic forms. ⋮ Irreducible Linear Groups of Degree Four over a Quaternion Division Algebra that Contain a Root Subgroup ⋮ Completely Reducible Linear Groups Over a Quaternion Division Algebra that Contain a Root Subgroup

Cites Work

• Groups contained between groups of Lie type over various fields
• On subgroups of the special linear group containing the special orthogonal group

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