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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Finitely generated non-Hopfian groups


Author: A. H. Rhemtulla
Journal: Proc. Amer. Math. Soc. 81 (1981), 382-384
MSC: Primary 20E34; Secondary 20F99
DOI: https://doi.org/10.1090/S0002-9939-1981-0597645-3
MathSciNet review: 597645
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Abstract: We discuss finitely generated groups that are badly non-Hopfian. Given any countable group $ L$, we construct a finitely generated group $ G = K \times H$ where $ H$ is isomorphic to $ G$ and $ L$ is a two-step subnormal subgroup of $ K$.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1981-0597645-3
Article copyright: © Copyright 1981 American Mathematical Society

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