A note on multiplicative commutators of division rings
Rings and Algebras
2017-06-27 v1
Abstract
We give an example of a division ring whose multiplicative commutator subgroup does not generate as a vector space over its centre, thus disproving the conjecture posed in the paper "Vector space generated by the multiplicative commutators of a division ring, J. Algebra Appl. 12 (2013), no. 8".
Cite
@article{arxiv.1706.07988,
title = {A note on multiplicative commutators of division rings},
author = {Roozbeh Hazrat},
journal= {arXiv preprint arXiv:1706.07988},
year = {2017}
}