Asymptotic property C of the wreath product ZwrZ
  Using the relationship between transfinite asymptotic dimension and asymptotic property C, we obtain that the wreath product Z wr Z has asymptotic property C. Specifically, we prove that the transfinite asymptotic dimension of the wreath product Z wr Z is no more than omega+ 1. 
Jingming Zhu and Yan Wu
math.GR