Properties of the commutators of some elements of linear groups over divisions rings

DOI10.30970/MS.54.1.15-22zbMath1464.15047OpenAlexW3092448694MaRDI QIDQ2216415

V. M. Petechuk, Yu. V. Petechuk

Publication date: 16 December 2020

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.54.1.15-22

zbMATH Keywords

division ringcommutatorscommutativitylinear groupsunipotent elementstransvectionsresidual and fixed modules

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Commutator calculus (20F12) Skew fields, division rings (12E15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

• Unnamed Item
• Isomorphisms of groups full of projective transvections
• Extensions of the representation modules of a prime order group.

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