Distortion of Wreath Products in Thompson’s Group F

Citation:

Yan WU,Xiaoman CHEN.Distortion of Wreath Products in Thompson’s Group F[J].Chinese Annals of Mathematics B,2014,35(5):801~816
Page view: 1364        Net amount: 798

Authors:

Yan WU; Xiaoman CHEN;

Foundation:

the National Natural Science Foundation of China (Nos. 11226122, 11301224, 11231002) and the Zhejiang Provincial Natural Science Foundation of China (No. LQ12A01015).
Abstract: The authors use geometric techniques to prove that the restricted wreath product F Z is a quasi-isometrically embedded subgroup of Thompson’s group F.

Keywords:

Thompson’s group F, Restricted wreath products, Quasi-isometrically embedded

Classification:

46L07, 46L80
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