On one property of normal subgroups of \(\mathrm{UT}_\infty(R)\).

DOI10.1016/j.laa.2012.06.001zbMath1256.20050OpenAlexW139115491MaRDI QIDQ448380

Roksana Słowik

Publication date: 6 September 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.2012.06.001

zbMATH Keywords

normal subgroupscommutator subgroupgroups of infinite unitriangular matrices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Derived series, central series, and generalizations for groups (20F14)

Related Items (5)

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. ⋮ Epimorphisms of infinite triangular and unitriangular matrices. ⋮ On lattices of closed subgroups in the group of infinite triangular matrices over a field.

Cites Work

• On an infinite-dimensional group over a finite field
• The lower central series of subgroups of the Vershik-Kerov group.
• FREE SUBGROUPS OF THE GROUP OF INFINITE UNITRIANGULAR MATRICES
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