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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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 |
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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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