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This article is cited in 12 scientific papers (total in 12 papers)
Kazhdan Constants of Hyperbolic Groups
D. V. Osin Budget and Treasury Academy, Ministry of Finance of the Russian Federation
Abstract:
Let $H$ be an infinite hyperbolic group with Kazhdan property $(T)$ and let $\varkappa(H,X)$ denote the Kazhdan constant of $H$ with respect to a generating set $X$. We prove that $\inf_{X}\varkappa(H,X)=0$, where the
infimum is taken over all finite generating sets of $H$. In particular, this gives an answer to a Lubotzky question.
Keywords:
Kazhdan property (T), hyperbolic group, left regular representation, amenable group.
Received: 11.12.2001
Citation:
D. V. Osin, “Kazhdan Constants of Hyperbolic Groups”, Funktsional. Anal. i Prilozhen., 36:4 (2002), 46–54; Funct. Anal. Appl., 36:4 (2002), 290–297
Linking options:
https://www.mathnet.ru/eng/faa218https://doi.org/10.4213/faa218 https://www.mathnet.ru/eng/faa/v36/i4/p46
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Abstract page: | 430 | Full-text PDF : | 158 | References: | 58 |
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