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An example exists in this paperthis paper, p19-20. In fact they also construct a Hopfian group $H$ with finite (cyclic) normal subgroup $F$ and $H/F$ non-Hopfian.

An example exists in this paper. In fact they also construct a Hopfian group $H$ with finite (cyclic) normal subgroup $F$ and $H/F$ non-Hopfian.

An example exists in this paper, p19-20. In fact they also construct a Hopfian group $H$ with finite (cyclic) normal subgroup $F$ and $H/F$ non-Hopfian.

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user6976
user6976

An example exists in this paper. In fact they also construct a Hopfian group $H$ with finite (cyclic) normal subgroup $F$ and $H/F$ non-HipfianHopfian.

An example exists in this paper. In fact they also construct a Hopfian group $H$ with finite (cyclic) subgroup $F$ and $H/F$ non-Hipfian.

An example exists in this paper. In fact they also construct a Hopfian group $H$ with finite (cyclic) normal subgroup $F$ and $H/F$ non-Hopfian.

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user6976
user6976

An example exists in this paper. In fact they also construct a Hopfian group $H$ with finite (cyclic) subgroup $F$ and $H/F$ non-Hipfian.