Irreducible Linear Groups of Degree 3 Over a Quaternion Division Ring Containing a Root Subgroup

DOI10.1081/AGB-120029900zbMath1072.20059MaRDI QIDQ3155510

Evgenii L. Bashkirov

Publication date: 17 January 2005

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

zbMATH Keywords

irreducible subgroupsskew linear groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25)

Related Items

Geometry of root elements in groups of type $\mathrm E_{6}$, Unnamed Item, 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 $\mathrm {GL}_n$, Irreducible Linear Groups of Degree Four over a Quaternion Division Algebra that Contain a Root Subgroup, On Linear Groups of Degree 2nContaining a Representation of the Special Linear Group of Degreen, Renyi entropy as a statistical entropy for complex systems, Completely Reducible Linear Groups Over a Quaternion Division Algebra that Contain a Root Subgroup

Cites Work

• Unnamed Item
• Irreducible subgroups of SL(n,K) generated by root subgroups
• Some groups generated by transvection subgroups
• Linear transvection groups and embedded polar spaces
• Symplectic geometries, transvection groups, and modules
• Linear groups containing a root subgroup
• Subgroups of classical groups generated by transvections or Siegel transvections. I: Embeddings in linear groups
• Some groups generated by transvections
• On subgroup of the special linear group of degree 2 over an infinite field
• Unipotent normal subgroups of skew linear groups
• Some matrix groups over finite-dimensional division algebras
• Some Completely Reducible Linear Groups over a Quaternion Division Ring Containing a Root Subgroup
• Linear groups generated by one-parameter groups of one-dimensional transformations