Products of Riordan arrays of finite orders

Roksana Słowik

doi:10.1007/s10801-022-01145-y

Products of Riordan arrays of finite orders

Roksana Słowik

Department of Mathematics (RMS/RMS1)

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We prove that every Riordan array over C whose main diagonal consists only of ones can be written as a product of at most five Riordan arrays of finite orders.

Original language	English
Pages (from-to)	1055-1062
Number of pages	8
Journal	Journal of Algebraic Combinatorics
Volume	56
Issue number	4
DOIs	https://doi.org/10.1007/s10801-022-01145-y
Publication status	Published - Dec 2022

Keywords

Finite order
Involution
Product of Riordan arrays
Riordan array
Riordan group

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-022-01145-y

Cite this

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title = "Products of Riordan arrays of finite orders",

abstract = "We prove that every Riordan array over C whose main diagonal consists only of ones can be written as a product of at most five Riordan arrays of finite orders.",

keywords = "Finite order, Involution, Product of Riordan arrays, Riordan array, Riordan group",

author = "Roksana S{\l}owik",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2022",

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doi = "10.1007/s10801-022-01145-y",

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AU - Słowik, Roksana

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AB - We prove that every Riordan array over C whose main diagonal consists only of ones can be written as a product of at most five Riordan arrays of finite orders.

KW - Finite order

KW - Involution

KW - Product of Riordan arrays

KW - Riordan array

KW - Riordan group

UR - https://www.scopus.com/pages/publications/85134002548

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DO - 10.1007/s10801-022-01145-y

M3 - Article

AN - SCOPUS:85134002548

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JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 4

ER -

Products of Riordan arrays of finite orders

Abstract

Keywords

ASJC Scopus subject areas

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