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

doi:10.1007/BF02384811

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Finding

We then consider the case whenB is ap-group of nilpotency class 2 and show that in certain casesAxB is hopfian.

Paper

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

Citations: 4

1972

Full text

Abstract

In this paper we continue our study of hopficity begun in [1], [2], [3], [4] and [5]. LetA be hopfian and letB have a cyclic center of prime power order. We improve Theorem 4 of [2] 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.

Authors

R. Hirshon

Journal

Arkiv för Matematik

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