On the quasiconvexity of the fixed subgroup of endomorphisms of relatively hyperbolic groups
classification
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keywords
relativelyhyperbolicquasiconvexsubgroupendomorphismendomorphismsfinitelyfixed
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We prove that for any finitely generated relatively hyperbolic group G and any symmetric endomorphism f of G with relatively quasiconvex image, Fixf is relatively quasiconvex subgroup of G.
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