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arxiv: 1407.0758 · v1 · pith:7I3WAA45new · submitted 2014-07-03 · 🧮 math.GN

Products of finite groups and nonmeasurable subgroups

classification 🧮 math.GN
keywords nonmeasurablesubgroupsdensefinitegroupscompactexamplesgroup
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It is proven that if $G$ is a finite group, then $G^\omega$ has $2^{\mathfrak c}$ dense nonmeasurable subgroups. Also, other examples of compact groups with dense nonmeasurable subgroups are presented.

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