An Endomorphism of a Finitely Generated Residually Finite Group

1997/09/23 by Daniel T. Wise, Wise, Daniel T.
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.math/9709202

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arxiv created 1997/09/23 · arxiv updated 2009/11/30

Abstract

Let ϕ:G→ 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 ϕⁿ(G) is injective. We give an example to show that this is not always the case.

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