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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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.

UDC: 512.743

Received: 31.05.2020



© Steklov Math. Inst. of RAS, 2024