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392C Geometric Group Theory
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Residual finiteness and word-hyperbolic groups
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392C Geometric Group Theory
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2026-02-27 09:14:45
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392C Geometric Group Theory | Residual finiteness and word-hyperbolic groups 392C Geometric Group Theory Residual finiteness and word-hyperbolic groups Home About Blogging LaTeX Roster Subscribe to feed 35. Separating quasi-convex subgroups. 22 April 2009 in Course notes | Tags: Quasiconvex subgroups , Separability | by pweil | Leave a comment Last time: Theorem 21 (Groves–Manning–Osin): If is hyperbolic rel then there exists a finite subset such that if then (a) is injective; (b) is hyperbolic rel . Theorem 22 (Gromov, Olshanshkii, Delzant): If is hyperbolic relative to the infinite cyclic then there is a such that for all there exists a hyperbolic such that for each . The proof is an easy application of Groves–Manning–Osin. Definition : If (infinite cyclic) is malnormal then we say are independent . A group G is omnipotent if for every independent there exists a such that for all there exists a homomorphism...
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