An Endomorphism of a Finitely Generated Residually Finite Group

Details An Endomorphism of a Finitely Generated Residually Finite Group An Endomorphism of a Finitely Generated Residually Finite Group

1997-09-23

arxiv.org/abs/math/9709202v1

Mathematics

Group Theory

DVI and Post-Script files only

Scientific paper

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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