Linear groups generated by two long root subgroups

DOI10.1007/BF00970946zbMath0834.20047MaRDI QIDQ1903862

Evgenii L. Bashkirov

Publication date: 15 January 1996

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

zbMATH Keywords

groups generated by long root subgroupssubgroups of \(\text{SL}_ n(K)\)upper unitriangular matrices

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05)

Related Items

Geometry of root elements in groups of type $\mathrm E_{6}$, Linear groups containing a root subgroup, On subgroups of the general linear group over the skew field of quaternions containing the special unitary group, 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., Geometry of 1-tori in $\mathrm {GL}_n$, Irreducible Linear Groups of Degree Four 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 unitary group
• Some subgroups of \(\Omega (V)\) generated by groups of root type 1
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