2007.181: Critical exponents for groups of isometries
2007.181: Richard Sharp (2007) Critical exponents for groups of isometries. Geometriae Dedicata, 125 (1). pp. 63-74. ISSN 1572-9168
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DOI: 10.1007/s10711-007-9137-9
Abstract
Let Γ be a convex co-compact group of isometries of a CAT(−1) space X and let Γ_0 be a normal subgroup of Γ. We show that, provided Γ is a free group, a sufficient condition for Γ and Γ_0 to have the same critical exponent is that Γ / Γ_0 is amenable.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CAT(−1)space - Riemannian manifold - Negative curvature - Group of isometrics - Critical exponent - Amenable group |
| Subjects: | MSC 2000 > 20 Group theory and generalizations MSC 2000 > 37 Dynamical systems and ergodic theory MSC 2000 > 60 Probability theory and stochastic processes |
| MIMS number: | 2007.181 |
| Deposited By: | Mrs Louise Healey |
| Deposited On: | 20 November 2007 |
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