Expressing infinite matrices as products of involutions

Roksana Słowik

doi:10.1016/j.laa.2012.07.032

Expressing infinite matrices as products of involutions

Roksana Słowik

Katedra Matematyki (RMS/RMS1)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

27 Cytowania z bazy Scopus

Abstrakt

We take into consideration ± ^UT∞(K) - the group of upper triangular infinite matrices whose entries lying on the main diagonal are equal to either 1 or -1. We show that for any field K, every element of this group can be expressed as a product of at most five involutions. Moreover, we prove that if K is a field of characteristic different from 2, then four involutions suffice.

Język oryginału	angielski
Strony (od–do)	399-404
Liczba stron	6
Czasopismo	Linear Algebra and Its Applications
Tom	438
Numer wydania	1
Identyfikatory DOI	https://doi.org/10.1016/j.laa.2012.07.032
Status publikacji	Opublikowano - 1 sty 2013

Obszary tematyczne ASJC Scopus

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

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10.1016/j.laa.2012.07.032

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Cytowanie

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AU - Słowik, Roksana

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AB - We take into consideration ± UT∞(K) - the group of upper triangular infinite matrices whose entries lying on the main diagonal are equal to either 1 or -1. We show that for any field K, every element of this group can be expressed as a product of at most five involutions. Moreover, we prove that if K is a field of characteristic different from 2, then four involutions suffice.

KW - Infinite matrices

KW - Products of involutions

KW - Triangular matrices

UR - https://www.scopus.com/pages/publications/84869082355

U2 - 10.1016/j.laa.2012.07.032

DO - 10.1016/j.laa.2012.07.032

M3 - Article

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

Expressing infinite matrices as products of involutions

Abstrakt

Obszary tematyczne ASJC Scopus

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