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A CONTINUALLY DESCENDING ENDOMORPHISM OF A FINITELY GENERATED RESIDUALLY FINITE GROUP

Published online by Cambridge University Press:  01 January 1999

DANIEL T. WISE
DANIEL T. WISE
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853, USA
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Abstract

Let ϕ[ratio ]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.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 1 , January 1999 , pp. 45 - 49
Copyright
© The London Mathematical Society 1999

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