Commensurators of finitely generated nonfree Kleinian groups

Leininger, Christopher¹ ; Long, Darren D² ; Reid, Alan W³

¹Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana IL 61801, USA
²Department of Mathematics, University of California, Santa Barbara, Santa Barbara CA 93106, USA
³Department of Mathematics, University of Texas, Austin TX 78712, USA

Algebraic and Geometric Topology, Tome 11 (2011) no. 1, pp. 605-624

Résumé

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.

Détail

DOI : 10.2140/agt.2011.11.605

Keywords: commensurator, Zariski-dense

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