Endomorphism kernel property for finite groups

A group $G$ has the endomorphism kernel property (EKP) if every congruence relation $\theta$ on $G$ is the kernel of an endomorphism on $G$. In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian groups which have EKP.

Bibliographic Details
Main Authors: Heghine Ghumashyan, Jaroslav Guričan
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2022-10-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/147/3/mb147_3_5.pdf