Geodesic
Asymptotic property C of the wreath product $\mathbb Z \wr \mathbb Z$
Jingming Zhu1 ; Yan Wu1
1Jiaxing University, China
Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 601-612

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DOI

Using the relationship between transfinite asymptotic dimension and asymptotic property C, we obtain that the wreath product Z≀Z has asymptotic property C. Specifically, we prove that the transfinite asymptotic dimension of the wreath product Z≀Z does not exceed ω+1.
DOI : 10.4171/ggd/711
Classification : 20-XX, 54-XX
Mots-clés : Wreath product, transfinite asymptotic dimension, asymptotic property C

Jingming Zhu  1   ; Yan Wu  1

1 Jiaxing University, China 
Jingming Zhu; Yan Wu. Asymptotic property C of the wreath product $\mathbb Z \wr \mathbb Z$. Groups, geometry, and dynamics, Tome 17 (2023) no. 2, pp. 601-612. doi: 10.4171/ggd/711
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     title = {Asymptotic property {C} of the wreath product $\mathbb Z \wr \mathbb Z$},
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     pages = {601--612},
     year = {2023},
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     number = {2},
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}
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