Geodesic
Endomorphism kernel property for finite groups
Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 347-358
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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.
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.
DOI : 10.21136/MB.2021.0171-20
Classification : 08A35, 20D15, 20K01, 20K27, 20K30
Keywords: endomorphism kernel property; nilpotent group; $p$-group 
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Ghumashyan, Heghine; Guričan, Jaroslav. Endomorphism kernel property for finite groups. Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 347-358. doi: 10.21136/MB.2021.0171-20

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