Commutator lengths in general linear group over a skew-field
Group Theory
2023-05-30 v3
Abstract
We give an upper and lower estimate for the maximal commutator length of a noncentral element of the elementary subgroup of the general linear group over a skew-field based on the maximal commutator length of an element of the multiplicative group of that skew-field.
Keywords
Cite
@article{arxiv.2008.11773,
title = {Commutator lengths in general linear group over a skew-field},
author = {Pavel Gvozdevsky},
journal= {arXiv preprint arXiv:2008.11773},
year = {2023}
}
Comments
12 pages, to be published in Journal of Mathematical Sciences