scholarly journals Paradoxical decompositions, $2$-generator Kleinian groups, and volumes of hyperbolic $3$-manifolds

1992 ◽  
Vol 5 (2) ◽  
pp. 231-231
Author(s):  
Marc Culler ◽  
Peter B. Shalen
Keyword(s):  
Kleinian Groups ◽  
Paradoxical Decompositions

scholarly journals Free vs. locally free Kleinian groups

2019 ◽  
Vol 2019 (746) ◽  
pp. 149-170
Author(s):  
Pekka Pankka ◽  
Juan Souto
Keyword(s):  
Hausdorff Dimension ◽  
Kleinian Group ◽  
Cantor Set ◽  
Cantor Sets ◽  
Kleinian Groups ◽  
The Other ◽  
Limit Set ◽  
Limit Sets ◽  
Other Hand

Abstract We prove that Kleinian groups whose limit sets are Cantor sets of Hausdorff dimension < 1 are free. On the other hand we construct for any ε > 0 an example of a non-free purely hyperbolic Kleinian group whose limit set is a Cantor set of Hausdorff dimension < 1 + ε.

Kleinian groups acting onS 3 which are extensions

1998 ◽  
Vol 3 (4) ◽  
pp. 355-374
Author(s):  
L. Potyagailo
Keyword(s):  
Kleinian Groups

Infinite ergodic theory for Kleinian groups

2005 ◽  
Vol 25 (4) ◽  
pp. 1305-1323 ◽  
Author(s):  
MANUEL STADLBAUER ◽  
BERND O. STRATMANN
Keyword(s):  
Ergodic Theory ◽  
Kleinian Groups ◽  
Infinite Ergodic Theory
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