THE WIDTH OF VERBAL SUBGROUPS IN THE GROUP OF UNITRIANGULAR MATRICES OVER A FIELD

DOI10.1142/S0218196712500191zbMath1258.20040MaRDI QIDQ2888834

Agnieszka Bier

Publication date: 4 June 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

lower central seriesgroups of unitriangular matricesverbal widthstriangular linear groupslattices of verbal subgroups

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Other matrix groups over fields (20H20)

Related Items

A note on commutators in the group of infinite triangular matrices over a ring, On solvability of Engel equations in the group of triangular matrices over a field., Bijections preserving commutators and automorphisms of unitriangular groups, Verbal Subgroups of T_r(∞,K), Commutators and powers of infinite unitriangular matrices., A criterion for the universality of a matrix from the group \(\mathrm{UT}_n(R)\) over a commutative and associative ring \(R\) with unity, On lattices of closed subgroups in the group of infinite triangular matrices over a field., p-power conjugacy classes in U(n,q) and T(n,q), Bijective maps of infinite triangular and unitriangular matrices preserving commutators

Cites Work

• Verbal subgroups in the group of triangular matrices over field of characteristic 0.