paper

Commutator lengths in general linear group over a skew-field

arXiv:2008.11773 · doi:10.1007/s10958-022-05975-w

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.

12 pages, to be published in Journal of Mathematical Sciences

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