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