An Endomorphism of a Finitely Generated Residually Finite Group
classification
🧮 math.GR
keywords
endomorphismfinitefinitelygeneratedgroupresiduallyalwaysasked
read the original abstract
Let $\phi:G\rightarrow G$ be an endomorphism of a finitely generated residually finite group. R.~Hirshon asked if there exists~$n$ such that the restriction of $\phi$ to $\phi^n(G)$ is injective. We give an example to show that this is not always the case.
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