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The Patterson–Sullivan measure and proper conjugation for Kleinian groups of divergence type
| Content Provider | Semantic Scholar |
|---|---|
| Author | Matsuzaki, Katsuhiko Yabuki, Yasuhiro |
| Copyright Year | 2009 |
| Abstract | A Kleinian group (a discrete subgroup of conformal automorphisms of the unit ball) G is said to have proper conjugation if it contains the conjugate αGα−1 by some conformal automorphism α as a proper subgroup in it. We show that a Kleinian group of divergence type cannot have proper conjugation. Uniqueness of the Patterson–Sullivan measure for such a Kleinian group is crucial to our proof. |
| Starting Page | 657 |
| Ending Page | 665 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S0143385708080267 |
| Alternate Webpage(s) | http://www.f.waseda.jp/matsuzak/Preprint/proper.pdf |
| Alternate Webpage(s) | http://www.f.waseda.jp/matsuzak/papers/ergodic2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S0143385708080267 |
| Volume Number | 29 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |