An Endomorphism of a Finitely Generated Residually Finite Group

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Let $ϕ:G\rightarrow G$ be an endomorphism of a finitely generated residually finite group. R.~Hirshon asked if there exists~$n$ such that the restriction of $ϕ$ to $ϕ^n(G)$ is injective. We give an example to show that this is not always the case.
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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/153151

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9709202
 http://arxiv.org/abs/math/9709202

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arXiv