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The direct product of a hopfian group with a group with cyclic ccnter

R. Hirshon Polytechnie Institute of Brooklyn, Brooklyn, N.Y., U.S.A.

TBD mathscidoc:1701.332365

Arkiv for Matematik, 10, (1), 231-234, 1971.9
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.
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@inproceedings{r.1971the,
  title={The direct product of a hopfian group with a group with cyclic ccnter},
  author={R. Hirshon},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203449789252174},
  booktitle={Arkiv for Matematik},
  volume={10},
  number={1},
  pages={231-234},
  year={1971},
}
R. Hirshon. The direct product of a hopfian group with a group with cyclic ccnter. 1971. Vol. 10. In Arkiv for Matematik. pp.231-234. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203449789252174.
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