In this paper we continue our study of hopficity begun in , , ,  and . LetA be hopfian and letB have a cyclic center of prime power order. We improve Theorem 4 of  by showing that ifB has finitely many normal subgroups which form a chain (we sayB isn-normal), thenAxB is hopfian. We then consider the case whenB is ap-group of nilpotency class 2 and show that in certain casesAxB is hopfian.
Abelian Group Normal Subgroup Direct Product Related Result Polytechnic Institute
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