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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Finitely generated non-Hopfian groups
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by A. H. Rhemtulla PDF
Proc. Amer. Math. Soc. 81 (1981), 382-384 Request permission

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
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • 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