Abstract
We consider the classical Vitali’s construction of nonmeasurable subsets of the real line R \mathbb {R} and investigate its analogs for various uncountable subgroups of R \mathbb {R} . Among other results we show that if G G is an uncountable proper analytic subgroup of R \mathbb {R} then there are Lebesgue measurable and Lebesgue nonmeasurable selectors for R / G \mathbb {R}/G .
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