Heegaard genus and property τ for hyperbolic 3-manifolds

D. D. Long*, A. Lubotzky*, A. W. Reid*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

We show that any finitely generated non-elementary Kleinian group has a co-final family of finite index normal subgroups with respect to which it has Property τ. As a consequence, any closed hyperbolic 3-manifold has a co-final family of finite index normal subgroups for which the infimal Heegaard gradient is positive.

Original languageEnglish
Pages (from-to)152-158
Number of pages7
JournalJournal of Topology
Volume1
Issue number1
DOIs
StatePublished - Jan 2008

Bibliographical note

Publisher Copyright:
© 2007 London Mathematical Society.

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