Linear groups containing a root subgroup

DOI10.1007/BF02106733zbMath0874.20031OpenAlexW1998024490MaRDI QIDQ1357965

Evgenii L. Bashkirov

Publication date: 6 November 1997

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

Full work available at URL: https://doi.org/10.1007/bf02106733

zbMATH Keywords

normal subgroupssubgroup latticeslinear groupsroot subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over fields (20H20)

Related Items

Irreducible Linear Groups of Degree 3 Over a Quaternion Division Ring Containing a Root Subgroup, Geometry of root elements in groups of type $\mathrm E_{6}$, LINEAR GROUPS OVER LOCALLY FINITE EXTENSIONS OF INFINITE FIELDS, 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., Irreducible linear groups of degree four over a quaternion division algebra that contain a subgroup \(\text{diag}(T_3(K,\Phi_0),1)\)., Geometry of 1-tori in $\mathrm {GL}_n$, Some Completely Reducible Linear Groups over a Quaternion Division Ring Containing a Root Subgroup, On Linear Groups of Degree 2 Over a Noncommutative Division Algebra, Linear groups of degree 3 over a field that contain a one-parametric group of elements with minimal polynomial (x−1)3, 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, Linear Groups Over Integral Extensions of Semilocal Commutative Rings

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