On strongly reversible elements in the Riordan group
Abstract
An element of a group is called \emph{reversible} if it is conjugate to its inverse, and \emph{strongly reversible} if it can be expressed as a product of two involutions. We study strongly reversible elements in the Riordan group and its various important subgroups. We prove that not every reversible element in the Riordan group is strongly reversible, and we investigate products of reversible elements in the Riordan group.
Fields of Study & Subjects
Finite Group Theory Research
Advanced Combinatorial Mathematics
Mathematics and Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 16 January 2026
- Document type
- Preprint