Products of finite groups and nonmeasurable subgroups

2014/07/03 by F. Javier Trigos-Arrieta, Trigos-Arrieta, F. Javier
Mathematics · #22C05 #28B10 #Advanced Topology and Set Theory #FOS: Mathematics #Finite Group Theory Research #General Topology (math.GN) #Rings, Modules, and Algebras #math.GN #msc:22C05 #msc:28B10

paper · pdf · doi:10.48550/arxiv.1407.0758

5 pages

arxiv created 2014/07/03 · openalex publication_date 2014/07/03 · arxiv updated 2014/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proven that if G is a finite group, then G^ω has 2^{\mathfrak c} dense nonmeasurable subgroups. Also, other examples of compact groups with dense nonmeasurable subgroups are presented.

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