Algebraic properties of Riordan subgroups

Paul Barry, Aoife Hennessy, Nikolaos Pantelidis

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We present properties of the group structure of Riordan arrays. We examine similar properties among known Riordan subgroups, and from this, we define H[r, s, p], a family of Riordan arrays. We generalize conditions for involutions, and pseudo-involutions of H[r, s, p], and we present stabilizers of this family. We find abelian subgroups as intersections of Riordan subgroups and show some alternative semi-direct products of the Riordan group.

Original languageEnglish
Pages (from-to)1015-1036
Number of pages22
JournalJournal of Algebraic Combinatorics
Issue number4
Publication statusPublished - Jun 2021


  • Involution
  • Isomorphism
  • Pseudo-involution
  • Riordan subgroup
  • Semi-direct product
  • Stabilizer


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