Commutator subgroup of Vershik-Kerov group.

DOI10.1016/j.laa.2012.01.032zbMath1242.20061OpenAlexW2057839761MaRDI QIDQ414709

Waldemar Hołubowski, Chander Kanta Gupta

Publication date: 11 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.01.032

zbMATH Keywords

lower central seriescommutator subgroupcommutator widthscolumn finite matricesinfinite dimensional linear groupsinfinite triangular matricesVershik-Kerov group

Mathematics Subject Classification ID

Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Other matrix groups over fields (20H20)

Related Items (12)

A note on commutators in the group of infinite triangular matrices over a ring ⋮ Word equations in simple groups and polynomial equations in simple algebras. ⋮ Commutators and commutator subgroups of the Riordan group ⋮ On solvability of Engel equations in the group of triangular matrices over a field. ⋮ A certain decomposition of infinite invertible matrices over division algebras ⋮ Parabolic subgroups of groups of column-finite infinite matrices. ⋮ Decomposition of infinite matrices into products of commutators of involutions ⋮ Finite traces and representations of the group of infinite matrices over a finite field ⋮ Commutators and powers of infinite unitriangular matrices. ⋮ Commutator subgroup of Vershik-Kerov group. II. ⋮ On lattices of closed subgroups in the group of infinite triangular matrices over a field. ⋮ Automorphism groups of vector spaces with generalized group identities

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• Commutators in the Special and General Linear Groups
• Parabolic subgroups of Vershik-Kerov’s group
• HOMOLOGY OF THE FULL LINEAR GROUP OVER A LOCAL RING, AND MILNOR'SK-THEORY

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