Geodesic
Commutator lengths in general linear group over a skew-field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 35, Tome 492 (2020), pp. 45-60

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{ZNSL_2020_492_a3,
     author = {P. B. Gvozdevsky},
     title = {Commutator lengths in general linear group over a skew-field},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {45--60},
     publisher = {mathdoc},
     volume = {492},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a3/}
}
TY  - JOUR
AU  - P. B. Gvozdevsky
TI  - Commutator lengths in general linear group over a skew-field
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2020
SP  - 45
EP  - 60
VL  - 492
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a3/
LA  - ru
ID  - ZNSL_2020_492_a3
ER  - 
%0 Journal Article
%A P. B. Gvozdevsky
%T Commutator lengths in general linear group over a skew-field
%J Zapiski Nauchnykh Seminarov POMI
%D 2020
%P 45-60
%V 492
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a3/
%G ru
%F ZNSL_2020_492_a3
P. B. Gvozdevsky. Commutator lengths in general linear group over a skew-field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 35, Tome 492 (2020), pp. 45-60. http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a3/