Author:
Bien M. H.,Lam P. L. P.,Mai V. T.
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.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
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