Abstract
UDC 512.5 We consider the question whether an element of a special linear group of degree m ≥ 1 over a division ring D is a commutator. Our first aim is to show that if the division ring D is algebraically closed and finite-dimensional over its center, then every element of is a commutator of We also indicate that this question is related to the derived series in division rings and then describe the derived series in the Mal'cev–Neumann division rings of noncyclic free groups over fields.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
