Fernandes, Vítor and Vernitski, Alexei (2025) Groups of permutations that are even on subsets of a fixed size, and related monoids. International Journal of Algebra and Computation. pp. 1-15. DOI https://doi.org/10.1142/S0218196725500407
Fernandes, Vítor and Vernitski, Alexei (2025) Groups of permutations that are even on subsets of a fixed size, and related monoids. International Journal of Algebra and Computation. pp. 1-15. DOI https://doi.org/10.1142/S0218196725500407
Fernandes, Vítor and Vernitski, Alexei (2025) Groups of permutations that are even on subsets of a fixed size, and related monoids. International Journal of Algebra and Computation. pp. 1-15. DOI https://doi.org/10.1142/S0218196725500407
Abstract
We study permutations on n elements that are even on every subset of size t. We describe all groups of these permutations. Unexpectedly, these groups (except for some special cases) are either trivial, cyclic or dihedral. In this context, we define and study monoids that generalize both monoids of order-preserving mappings and monoids of orientationpreserving mappings.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | semigroups; order-preserving mappings; orientation-preserving mappings; permutations; dihedral groups |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 29 Sep 2025 13:31 |
| Last Modified: | 30 Oct 2025 04:44 |
| URI: | http://repository.essex.ac.uk/id/eprint/41665 |