Algebra in the superextensions of groups: minimal left ideals

Abstract

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.

arXiv comment8 pages