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Article

Ghumashyan, Heghine ; Guričan, Jaroslav
Endomorphism kernel property for finite groups. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 347-358
MSC: 08A35, 20D15, 20K01, 20K27, 20K30 | MR 4482310 | Zbl 07584129 | DOI: 10.21136/MB.2021.0171-20
Keywords:
endomorphism kernel property; nilpotent group; $p$-group
Summary:
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.
References:
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