On lattices of closed subgroups in the group of infinite triangular matrices over a field.

DOI10.1016/j.laa.2015.07.032zbMath1336.20049OpenAlexW1117432060MaRDI QIDQ745188

Agnieszka Bier

Publication date: 13 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.032

zbMATH Keywords

widths of verbal subgroupsclosed subgroupscharacteristic subgroupslattices of characteristic subgroupsinfinite unitriangular matricesgroups of infinite upper triangular matrices over fieldslattices of fully characteristic subgroupspartition subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over fields (20H20)

Related Items

The pro-\(p\) group of upper unitriangular matrices

Cites Work

• Commutator subgroup of Vershik-Kerov group.
• On one property of normal subgroups of \(\mathrm{UT}_\infty(R)\).
• Epimorphisms of infinite triangular and unitriangular matrices.
• A review of infinite matrices and their applications
• Infinite matrices with ``few non-zero entries and without non-trivial invariant subspaces
• Verbal subgroups in the group of triangular matrices over field of characteristic 0.
• On solvability of Engel equations in the group of triangular matrices over a field.
• Commutators and powers of infinite unitriangular matrices.
• Finite traces and representations of the group of infinite matrices over a finite field
• Bijective maps of infinite triangular and unitriangular matrices preserving commutators
• THE WIDTH OF VERBAL SUBGROUPS IN THE GROUP OF UNITRIANGULAR MATRICES OVER A FIELD
• Verbal Subgroups of T_r(∞,K)
• Varieties of groups
• Sylow p-Subgroups of the General Linear Group Over Finite Fields of Characteristic p
• Profinite Groups
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