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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Rasimate Maungchang | en_US |
| dc.contributor.author | Teerapong Suksumran | en_US |
| dc.date.accessioned | 2022-10-16T06:48:22Z | - |
| dc.date.available | 2022-10-16T06:48:22Z | - |
| dc.date.issued | 2022-07-01 | en_US |
| dc.identifier.issn | 22277390 | en_US |
| dc.identifier.other | 2-s2.0-85133567280 | en_US |
| dc.identifier.other | 10.3390/math10132276 | en_US |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85133567280&origin=inward | en_US |
| dc.identifier.uri | http://cmuir.cmu.ac.th/jspui/handle/6653943832/74725 | - |
| dc.description.abstract | The method of constructing the generalized dihedral group as a semidirect product of an abelian group and the group Z2 of integers modulo 2 is extended to the case of gyrogroups. This leads to the study of a new class of gyrogroups, which includes generalized dihedral groups and dihedral groups as a special case. In this article, we show that any dihedralizable gyrogroup can be enlarged to a dihedralized gyrogroup. Then, we establish algebraic properties of dihedralized gyrogroups as well as combinatorial properties of their Cayley graphs. | en_US |
| dc.subject | Computer Science | en_US |
| dc.subject | Engineering | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | On Dihedralized Gyrogroups and Their Cayley Graphs | en_US |
| dc.type | Journal | en_US |
| article.title.sourcetitle | Mathematics | en_US |
| article.volume | 10 | en_US |
| article.stream.affiliations | Walailak University | en_US |
| article.stream.affiliations | Chiang Mai University | en_US |
| Appears in Collections: | CMUL: Journal Articles | |
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