Abstract
In this paper we continue our study of hopficity begun in [1], [2], [3], [4] and [5]. Let A be hopfian and let B have a cyclic center of prime power order. We improve Theorem 4 of [2] by showing that if B has finitely many normal subgroups which form a chain (we say B is n-normal), then AxB is hopfian. We then consider the case when B is a p-group of nilpotency class 2 and show that in certain cases AxB is hopfian.
Citation
R. Hirshon. "The direct product of a hopfian group with a group with cyclic ccnter." Ark. Mat. 10 (1-2) 231 - 234, 1972. https://doi.org/10.1007/BF02384811
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