On one property of normal subgroups of UT∞ (R)

Roksana Słowik

doi:10.1016/j.laa.2012.06.001

On one property of normal subgroups of ^UT∞ (R)

Roksana Słowik

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

6 Cytowania z bazy Scopus

Abstrakt

We examine the group of infinite unitriangular matrices. We show that to find a normal subgroup of ^UT∞(R) for any unital ring R, it suffices to examine properties of matrices in this group having nonzero entries only on some first diagonals. We use this result to find the commutator subgroup of the group of all triangular matrices. We also describe the commutator subgroup of the Vershik-Kerov group.

Język oryginału	angielski
Strony (od–do)	2300-2307
Liczba stron	8
Czasopismo	Linear Algebra and Its Applications
Tom	437
Numer wydania	9
Identyfikatory DOI	https://doi.org/10.1016/j.laa.2012.06.001
Status publikacji	Opublikowano - 1 lis 2012

Obszary tematyczne ASJC Scopus

Algebra i teoria liczb
Analiza numeryczna
Geometria i topologia
Matematyka dyskretna i kombinatoryka

Uzyskaj dostęp do dokumentu

10.1016/j.laa.2012.06.001

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Cytowanie

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AB - We examine the group of infinite unitriangular matrices. We show that to find a normal subgroup of UT∞(R) for any unital ring R, it suffices to examine properties of matrices in this group having nonzero entries only on some first diagonals. We use this result to find the commutator subgroup of the group of all triangular matrices. We also describe the commutator subgroup of the Vershik-Kerov group.

KW - Commutator subgroup

KW - Infinite unitriangular matrices

KW - Normal subgroup

UR - https://www.scopus.com/pages/publications/84864765323

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DO - 10.1016/j.laa.2012.06.001

M3 - Article

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