Amenability of Hecke pairs and a question of Eymard

2013/11/11 by Vahid Shirbisheh, Shirbisheh, Vahid
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1311.2450

I modified the proof of Theorem 7, added some explanations, and updated the references. (6 pages)

arxiv created 2014/02/23 · arxiv updated 2014/02/25

Abstract

In this short paper we show that if (G,H) is an amenable Hecke pair and Γ is a subgroup of G containing H, then the Hecke pair (Γ, H) is amenable too. This answers positively a question of Pierre Eymard, asked in 1972, when it is restricted to Hecke pairs

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• Various commensurability relations in Hecke pairs and property (RD)
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