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A non-quasiconvexity embedding theorem for hyperbolic groups

Published online by Cambridge University Press:  01 November 1999

ILYA KAPOVICH
ILYA KAPOVICH
Affiliation:
Department of Mathematics, Hill Center, Busch Campus, Rutgers University, Piscataway, NJ 08854, USA; e-mail: [email protected]
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Abstract

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 2 which is malnormal and quasiconvex in G.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 3 , November 1999 , pp. 461 - 486
Copyright
© The Cambridge Philosophical Society 1999

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