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International Journal of Algebra and Computation· 2026Q2

Remarks on a representation and isomorphisms of the multiple Riordan group

Roksana Slowik

Short summary

A new explicit formula is presented for an isomorphism between the k-tuple Riordan group G_k and a subgroup of G_k, based on Petrullo's representation of multiple Riordan arrays.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduces an explicit formula for an isomorphism within the k-tuple Riordan group.
  • Leverages Petrullo's representation of multiple Riordan arrays as k-tuples of single Riordan arrays.
  • Defines a specific subgroup within the k-tuple Riordan group for the isomorphism.
  • Contributes to the algebraic understanding of Riordan groups.

AI-generated from the title and abstract; the full text is not read.

Abstract

We consider presentation of a multiple Riordan array in the form of [Formula: see text] tuple ‘single’ Riordan arrays, which was recently proposed by Petrullo. We give an explicit formula for an isomorphism between the [Formula: see text]-tuple Riordan group [Formula: see text] and the subgroup of [Formula: see text].

The authors' abstract, as published at the source. International Journal of Algebra and Computation, 2026 · DOI ↗

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics