An Endomorphism of a Finitely Generated Residually Finite Group

Daniel T. Wise

An Endomorphism of a Finitely Generated Residually Finite Group

Group Theory 2008-02-03 v1

Authors: Daniel T. Wise

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.

Keywords

endomorphism finitely generated group residually finite group injective restriction counterexample

Cite

@article{arxiv.math/9709202,
  title  = {An Endomorphism of a Finitely Generated Residually Finite Group},
  author = {Daniel T. Wise},
  journal= {arXiv preprint arXiv:math/9709202},
  year   = {2008}
}

Comments

DVI and Post-Script files only

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