A Non-quasiconvexity Embedding Theorem for Hyperbolic Groups
نویسنده
چکیده
We show that if G is a non-elementary torsion-free word hyperbolic group then there exists another word hyperbolic group G∗, such that G is a subgroup of G∗ but G is not quasiconvex in G∗ . We also prove that any non-elementary subgroup of a torsion-free word hyperbolic group G contains a free group of rank two which is malnormal and quasiconvex in G.
منابع مشابه
Non - Quasiconvexity Embedding Theorem
We show that if G is a non-elementary torsion-free word hyperbolic group then there exists another word hyperbolic group G, such that G is a subgroup of G but G is not quasiconvex in G.
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