Linear groups of degree four containing the subgroup \(\text{SL}_2(k)\otimes\text{SL}_2(k)\).

DOI10.1016/j.jpaa.2010.10.004zbMath1219.20032OpenAlexW1520359558MaRDI QIDQ531377

Evgenii L. Bashkirov

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.10.004

zbMATH Keywords

general linear groupssubgroups

Mathematics Subject Classification ID

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

Related Items (1)

On subgroups of the group \(GL_7\) over a field that contain a Chevalley group of type \(G_2\) over a subfield.

Cites Work

• Overgroups in GL(U\(\otimes W)\) of certain subgroups of GL(U)\(\otimes GL(W)\). I
• On the maximal subgroups of the finite classical groups
• On linear groups containing the commutator subgroup of an orthogonal group of index greater than 1
• Linear groups containing a root subgroup
• On subgroup of the special linear group of degree 2 over an infinite field
• On Linear Groups of Degree 2nContaining a Representation of the Special Linear Group of Degreen
• Overgroups of elementary symplectic groups
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