Irreducible linear groups of degree four over a quaternion division algebra that contain a subgroup \(\text{diag}(T_3(K,\Phi_0),1)\).
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Publication:556966
DOI10.1016/j.jalgebra.2004.09.006zbMath1088.20030OpenAlexW1989790396MaRDI QIDQ556966
Publication date: 23 June 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.09.006
Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)
Related Items
Geometry of root elements in groups of type $\mathrm E_{6}$, On subgroups of the group \(GL_7\) over a field that contain a Chevalley group of type \(G_2\) over a subfield., 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, Completely Reducible Linear Groups Over a Quaternion Division Algebra that Contain a Root Subgroup
Cites Work
- Abstract root subgroups and quadratic action. With an Appendix by A. E. Zalesskii
- Linear groups containing a root subgroup
- Subgroups of classical groups generated by transvections or Siegel transvections. I: Embeddings in linear groups
- Linear groups over a skew field of quaternions containing the group \(T_n(A,\Phi)\) over a subsfield
- On subgroups of the general linear group over the skew field of quaternions containing the special unitary group
- Some groups generated by transvections
- On subgroup of the special linear group of degree 2 over an infinite field
- Irreducible Linear Groups of Degree 3 Over a Quaternion Division Ring Containing a Root Subgroup
- Quadratic modules for CHEVALLEY groups over fields of odd characteristics
- Some Completely Reducible Linear Groups over a Quaternion Division Ring Containing a Root Subgroup
- Finite-Dimensional Division Algebras over Fields
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