Commutators and powers of infinite unitriangular matrices.

DOI10.1016/j.laa.2014.05.020zbMath1301.20038OpenAlexW2142102151MaRDI QIDQ2250765

Agnieszka Bier

Publication date: 21 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.05.020

zbMATH Keywords

verbal subgroupscommutator widthsgroups of infinite unitriangular matricescommutator equationsEngel equationsEngel widthspower widths

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Matrix equations and identities (15A24) Algebraic systems of matrices (15A30) Commutator calculus (20F12) Engel conditions (20F45) Other matrix groups over fields (20H20) Algebraic geometry over groups; equations over groups (20F70)

Related Items

A note on commutators in the group of infinite triangular matrices over a ring, A certain decomposition of infinite invertible matrices over division algebras, Commutator subgroup of Vershik-Kerov group. II., The pro-\(p\) group of upper unitriangular matrices, On lattices of closed subgroups in the group of infinite triangular matrices over a field.

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