Some nilpotent and locally nilpotent matrix groups
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Publication:1263678
DOI10.1016/0022-4049(89)90089-3zbMath0688.20030OpenAlexW2075345713MaRDI QIDQ1263678
Bertram Arthur Frederick Wehrfritz
Publication date: 1989
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(89)90089-3
general linear groupsfinite-dimensional division algebrasnilpotent subgroupslocally nilpotent matrix groupsspecial division rings
Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Other matrix groups over rings (20H25) Local properties of groups (20E25) Division rings and semisimple Artin rings (16Kxx)
Related Items
Polycyclic group algebras and theorems of Harper and Lichtman ⋮ Irreducible locally nilpotent finitary skew linear groups
Cites Work
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- Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I
- Some skew linear groups associated with Lie algebras of characteristic zero
- Strong finiteness conditions in locally finite groups
- The soluble length of soluble linear groups
- The upper central series in soluble groups
- Applications of a New K-Theoretic Theorem to Soluble Group Rings
- On Skew Linear Groups Associated with Certain Soluble-by-Finite Groups
- Unipotent normal subgroups of skew linear groups
- Some matrix groups over finite-dimensional division algebras
- Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras