Research Article

Cayley regression problem of some groups

Published in: Quaestiones Mathematicae
Volume 47 , issue 10, pages: 2003–2021
DOI: 10.2989/16073606.2024.2347439
Author(s): Q. LiaoGuangdong University of Education, P.R. China, W. LiuCentral South University, P.R. China, J. TangHunan First Normal University, P.R. China,

Abstract

In this paper, we consider the Cayley regression problem of the cyclic groups and the dihedral groups. We give the sufficient and necessary conditions for the cyclic group ℤ n to be a Cayley regression. Moreover, the dihedral group D 2n is a 3-Cayley regression if n is a prime power.

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