|
Zapiski Nauchnykh Seminarov POMI, 2020, Volume 492, Pages 45–60
(Mi znsl6949)
|
|
|
|
Commutator lengths in general linear group over a skew-field
P. B. Gvozdevsky Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
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.
Key words and phrases:
commutator length, general linear group, skew-fields, Gauss decomposition.
Received: 31.05.2020
Citation:
P. B. Gvozdevsky, “Commutator lengths in general linear group over a skew-field”, Problems in the theory of representations of algebras and groups. Part 35, Zap. Nauchn. Sem. POMI, 492, POMI, St. Petersburg, 2020, 45–60
Linking options:
https://www.mathnet.ru/eng/znsl6949 https://www.mathnet.ru/eng/znsl/v492/p45
|
Statistics & downloads: |
Abstract page: | 80 | Full-text PDF : | 23 | References: | 12 |
|