Algebraic properties of Riordan subgroups

Barry, Paul and Hennessy, Aoife and Pantelidis, Nikolaos (2021) Algebraic properties of Riordan subgroups. Journal of Algebraic Combinatorics, 53 (4). pp. 1015-1036. ISSN 0925-9899

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Abstract

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.

Item Type:	Article
Additional Information:	Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2602
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:05
Last Modified:	10 Aug 2023 04:15
URI:	http://repository-testing.wit.ie/id/eprint/3981

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