Selected facts on products of two involutions in the Riordan group
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914258828132352 |
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| author | Słowik, Roksana Lohan, Tejbir |
| author_facet | Słowik, Roksana Lohan, Tejbir |
| contents | 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 in several of its important subgroups. We show that not every reversible element in the Riordan group is strongly reversible, and we investigate products of reversible elements in the Riordan group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11187 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Selected facts on products of two involutions in the Riordan group Słowik, Roksana Lohan, Tejbir Group Theory Combinatorics Rings and Algebras Primary 20H20, 15A23, Secondary 05A15, 20E45 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 in several of its important subgroups. We show that not every reversible element in the Riordan group is strongly reversible, and we investigate products of reversible elements in the Riordan group. |
| title | Selected facts on products of two involutions in the Riordan group |
| topic | Group Theory Combinatorics Rings and Algebras Primary 20H20, 15A23, Secondary 05A15, 20E45 |
| url | https://arxiv.org/abs/2601.11187 |