Construction of gyrogroups of order 2n by cyclic 2-groups [Articol]
| dc.contributor.author | Salahshour, Mohammad Ali | en |
| dc.contributor.author | Nezhaad, Kurosh Mavaddat | en |
| dc.contributor.author | Ungar, Abraham Albert | en |
| dc.date.accessioned | 2026-06-05T07:06:34Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | Gyrogroups abound in group theory. They possess a rich group-like structure that forms a natural generalization of groups. A prominent example is provided by Einstein’s addition law of relativistically admissible velocities. Being nonassociative, it turns out that Einstein addition is a nongroup gyrogroup binary operation. A gyrogroup is a rich structure constituting a non-empty set with a binary operation that obeys an associative-like law called the gyroassociative law. The aim of this article is to present a method of constructing novel gyrogroups of order 2n, n > 3, by a cyclic 2-group that is Z2n. | en |
| dc.identifier.citation | SALAHSHOUR, Mohammad Ali; Kurosh Mavaddat NEZHAAD and Abraham Albert UNGAR. Construction of gyrogroups of order 2n by cyclic 2-groups. Quasigroups and related systems, 2025, vol.33, nr.1, pp. 131-152. ISSN 1561-2848. Disponibil: https://doi.org/10.56415/qrs.v33.11 | en |
| dc.identifier.issn | 1561-2848 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/20863 | |
| dc.identifier.uri | https://doi.org/10.56415/qrs.v33.11 | |
| dc.language.iso | en | |
| dc.publisher | Moldova State University | en |
| dc.subject | gyrogroup | en |
| dc.subject | gyroautomorphism | en |
| dc.subject | gyroassociative | en |
| dc.subject | gyrocommutative | en |
| dc.title | Construction of gyrogroups of order 2n by cyclic 2-groups [Articol] | en |
| dc.type | Article |