CrossRef Open Access 2022 5 sitasi

On Dihedralized Gyrogroups and Their Cayley Graphs

Rasimate Maungchang Teerapong Suksumran

Abstrak

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.

Penulis (2)

Rasimate Maungchang

Teerapong Suksumran

Format Sitasi

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Maungchang, R., Suksumran, T. (2022). On Dihedralized Gyrogroups and Their Cayley Graphs. https://doi.org/10.3390/math10132276

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Total Sitasi: 5×
Sumber Database: CrossRef
DOI: 10.3390/math10132276
Akses: Open Access ✓