Commensurators of finitely generated nonfree Kleinian groups

Christopher Leininger; Darren D Long; Alan W Reid

doi:10.2140/agt.2011.11.605

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Home > Journals > Algebr. Geom. Topol. > Volume 11 > Issue 1 > Article

2011 Commensurators of finitely generated nonfree Kleinian groups

Christopher Leininger, Darren D Long, Alan W Reid

Algebr. Geom. Topol. 11(1): 605-624 (2011). DOI: 10.2140/agt.2011.11.605

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Abstract

We show that any finitely generated torsion-free nonfree Kleinian group of the first kind which is not a lattice and contains no parabolic elements has discrete commensurator.

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Christopher Leininger. Darren D Long. Alan W Reid. "Commensurators of finitely generated nonfree Kleinian groups." Algebr. Geom. Topol. 11 (1) 605 - 624, 2011. https://doi.org/10.2140/agt.2011.11.605

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Received: 27 July 2010; Revised: 27 December 2010; Accepted: 4 January 2011; Published: 2011

First available in Project Euclid: 19 December 2017

zbMATH: 1237.20044

MathSciNet: MR2783240

Digital Object Identifier: 10.2140/agt.2011.11.605

Subjects:

Primary: 20H10

Secondary: 20F60 , 57M50

Keywords: commensurator , Zariski-dense

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Christopher Leininger, Darren D Long, Alan W Reid "Commensurators of finitely generated nonfree Kleinian groups," Algebraic & Geometric Topology, Algebr. Geom. Topol. 11(1), 605-624, (2011)

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