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Cayley regression problem of some groups

Q. Liao1 Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, 510303, P.R. China;2 School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, P.R. China. E-Mail [email protected]
,
W. Liu2 School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, P.R. China. E-Mail [email protected];3 College of General Education, Guangdong University of Science and Technology, DongguanGuangdong, 523083, P.R. China.Correspondence[email protected]
&
J. Tang4 School of Mathematics and Statistics, Hunan First Normal University, Changsha, Hunan, 410205, P.R. China. E-Mail [email protected]
Received 14 Sep 2023, Published online: 15 May 2024
 
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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 ℤn to be a Cayley regression. Moreover, the dihedral group D2n is a 3-Cayley regression if n is a prime power.

Mathematics Subject Classification (2020):

Notes

* This research was supported by NSFC (No. 12071484).

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