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Commensurators of finitely generated nonfree Kleinian groups

Christopher Leininger, Darren D Long and Alan W Reid

Algebraic & Geometric Topology 11 (2011) 605–624

DOI: 10.2140/agt.2011.11.605
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.

Keywords

commensurator, Zariski-dense
Mathematical Subject Classification

Primary: 20H10

Secondary: 20F60, 57M50
References
Publication

Received: 27 July 2010
Revised: 27 December 2010
Accepted: 4 January 2011
Published: 24 February 2011
Authors
Christopher Leininger
Department of Mathematics
University of Illinois at Urbana-Champaign
Urbana IL 61801
USA
Darren D Long
Department of Mathematics
University of California, Santa Barbara
Santa Barbara CA 93106
USA
Alan W Reid
Department of Mathematics
University of Texas
Austin TX 78712
USA