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On residualizing homomorphisms preserving quasiconvexity

By Ashot Minasyan

Abstract

H is called a G-subgroup of a hyperbolic group G if for any finite subset M G there exists a homomorphism from G onto a non-elementary hyperbolic group G_1 that is surjective on H and injective on M. In his paper in 1993 A. Ol'shanskii gave a description of all G-subgroups in any given non-elementary hyperbolic group G. Here we show that for the same class of G-subgroups the finiteness assumption on M (under certain natural conditions) can be replaced by an assumption of quasiconvexity

Topics: QA
Year: 2005
OAI identifier: oai:eprints.soton.ac.uk:46727
Provided by: e-Prints Soton

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