Commutator subgroup of Vershik–Kerov group

We describe a commutator subgroup of Vershik–Kerov group over an infinite field and find the bound for its commutator width. This gives a partial solution of the problem posed by Sushchanskii in 2010. We also describe the lower central series of the group of infinite upper triangular matrices over a...

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Bibliographic Details
Published inLinear algebra and its applications Vol. 436; no. 11; pp. 4279 - 4284
Main Authors Gupta, Chander K., Hołubowski, Waldemar
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.06.2012
Elsevier
Subjects
Algebra
Commutator subgroup
Exact sciences and technology
Field theory and polynomials
Infinite triangular matrix
Linear and multilinear algebra, matrix theory
Mathematics
Sciences and techniques of general use
Vershik–Kerov group
Commutator subgroup
Vershik–Kerov group
20F14
Infinite triangular matrix
20F12
Triangular matrix
Infinite group
Subgroup
Infinite system
Vershik-Kerov group
Upper triangular matrix
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Summary:We describe a commutator subgroup of Vershik–Kerov group over an infinite field and find the bound for its commutator width. This gives a partial solution of the problem posed by Sushchanskii in 2010. We also describe the lower central series of the group of infinite upper triangular matrices over an infinite field and find the bound for its commutator width.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2012.01.032