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20-XX Group theory and generalizations
20Kxx Abelian groups
20K27 Subgroups

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Einige Ergebnisse aus der Theorie der zyklisch erzeugten modularen Verbände

RICHTER, GERD (1979)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Endomorphism kernel property for finite groups

Heghine Ghumashyan, Jaroslav Guričan (2022)

Mathematica Bohemica

A group $G$ has the endomorphism kernel property (EKP) if every congruence relation $θ$ 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.

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