Algebraic properties of Riordan subgroups

DOI10.1007/s10801-020-00953-4OpenAlexW3035256034MaRDI QIDQ2038901

Aoife Hennessy, Paul Barry, Nikolaos Pantelidis

Publication date: 7 July 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-020-00953-4

zbMATH Keywords

isomorphisminvolutionsemi-direct productstabilizerpseudo-involutionRiordan subgroup

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20Fxx) Enumerative combinatorics (05Axx)

Related Items (4)

Decompositions and eigenvectors of Riordan matrices ⋮ Left multiplication operators on the Riordan group ⋮ A Riordan group poset ⋮ On pseudo-involutions, involutions and quasi-involutions in the group of almost Riordan arrays

Uses Software

• OEIS

Cites Work

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• The double Riordan group
• Matrix characterizations of Riordan arrays
• Riordan arrays associated with Laurent series and generalized Sheffer-type groups
• Structural properties of Riordan matrices and extending the matrices
• Iterative processes related to Riordan arrays: the reciprocation and the inversion of power series
• The Riordan group
• Bijections and the Riordan group
• Some algebraic structure of the Riordan group
• A divisibility property for a subgroup of Riordan matrices
• Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
• The elements of finite order in the Riordan group over the complex field
• Complementary Riordan arrays
• Some open questions about random walks, involutions, limiting distributions, and generating functions
• Shift operators defined in the Riordan group and their applications

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