Parabolic subgroups of groups of column-finite infinite matrices.

DOI10.1016/j.laa.2012.02.020zbMath1244.20048OpenAlexW1966026629MaRDI QIDQ426037

Roksana Słowik, Waldemar Hołubowski

Publication date: 11 June 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.2012.02.020

zbMATH Keywords

parabolic subgroupssemilocal ringscolumn finite matricesinfinite dimensional linear groupsnet subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)

Related Items

Commutator subgroup of Vershik-Kerov group. ⋮ Commutators and powers of infinite unitriangular matrices. ⋮ Commutator subgroup of Vershik-Kerov group. II. ⋮ Nonfinitary algebras and their automorphism groups

Cites Work

• Commutator subgroup of Vershik-Kerov group.
• Commutators and companion matrices over rings of stable rank 1
• Automorphismengruppen freier Moduln von unendlichem Rang. (Automorphism groups of free modules of infinite rank)
• Products of three triangular matrices
• On an infinite-dimensional group over a finite field
• Products of three triangular matrices over commutative rings
• The lower central series of subgroups of the Vershik-Kerov group.
• \(K\)-theory and stable algebra
• Simple groups of infinite matrices
• Parabolic subgroups of Vershik-Kerov’s group
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