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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 4, Pages 46–54
DOI: https://doi.org/10.4213/faa218 (Mi faa218) 		 
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
Full-text PDF (159 kB) Citations (12)
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DOI: https://doi.org/10.4213/faa218
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
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 4, Pages 290–297
DOI: https://doi.org/10.1023/A:1021761810280
Bibliographic databases:
Document Type: Article
UDC: 517.986+512.54
Language: Russian
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
Citation in format AMSBIB
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\pages 46--54
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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