The group generated by Riordan involutions

The group generated by Riordan involutions

We prove that any element in the group generated by the Riordan involutions is the product of at most four of them. We also give a description of this subgroup as a semidirect product of a special subgroup of the commutator subgroup and the Klein four-group.

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Veröffentlicht in:Revista matemática complutense 2022, Vol.35 (1), p.199-217
Hauptverfasser: Luzón, Ana, Morón, Manuel A., Prieto-Martínez, L. Felipe
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Commutators
Geometry
Mathematics
Mathematics and Statistics
Subgroups
Topology
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Beschreibung
Zusammenfassung:We prove that any element in the group generated by the Riordan involutions is the product of at most four of them. We also give a description of this subgroup as a semidirect product of a special subgroup of the commutator subgroup and the Klein four-group.
ISSN:1139-1138
1988-2807
DOI:10.1007/s13163-020-00382-8