Algebra in the superextensions of groups: minimal left ideals
  We prove that the minimal left ideals of the superextension $\lambda(Z)$ of the discrete group $Z$ of integers are metrizable topological semigroups, topologically isomorphic to minimal left ideals of the superextension $\lambda(Z_2)$ of the compact group $Z_2$ of integer 2-adic numbers. 
Taras Banakh, Volodymyr Gavrylkiv