Algebra in the superextensions of groups: minimal left ideals

preprint2011arXivOpen access

Abstract

We prove that the minimal left ideals of the superextension λ(Z)λ(Z) of the discrete group ZZ of integers are metrizable topological semigroups, topologically isomorphic to minimal left ideals of the superextension λ(Z2)λ(Z_2) of the compact group Z2Z_2 of integer 2-adic numbers.

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