2
$\begingroup$

A classic result that states that any hyperbolic group in the sense of Gromov has Rapid Decay property in the sense of Jolisaint. But the original proof of that fact is contained in an old Ph.D. dissertation, written in French. Can someone help me to find the proof in English?

Improve this question
$\endgroup$
2
  • 4
    $\begingroup$ It's been proved by Drutu and Sapir that hyperbolic groups relative to RD subgroups have RD. Hence hyperbolic groups follow as a particular case. (Relatively hyperbolic groups with rapid decay property. Int. Math. Res. Not. 2005, no. 19, 1181–1194.) doi.org/10.1155/IMRN.2005.1181 arxiv.org/abs/math/0405500 $\endgroup$
    – YCor
    Commented Jun 21, 2021 at 13:04
  • 4
    $\begingroup$ My favority proof is in Sapir's article The rapid decay property and centroids in groups (arxiv.org/abs/1405.0757). $\endgroup$
    – AGenevois
    Commented Jun 21, 2021 at 13:30

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .