Linear groups generated by one-parameter groups of one-dimensional transformations

DOI10.1070/RM1989v044n01ABEH002025zbMath0679.20045MaRDI QIDQ4728542

Nikolai A. Vavilov

Publication date: 1989

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

general linear groupselementary matricesskew fieldsirreducible subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Division rings and semisimple Artin rings (16Kxx)

Related Items (7)

Irreducible Linear Groups of Degree 3 Over a Quaternion Division Ring Containing a Root Subgroup ⋮ 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 ⋮ On Linear Groups of Degree 2nContaining a Representation of the Special Linear Group of Degreen

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