On nonmeasurable subgroups in generalized measurable structures

TL;DR

This paper investigates the existence of nonmeasurable subgroups within commutative Polish groups under generalized measurable structures beyond traditional sigma-finite measures.

Contribution

It introduces new results on nonmeasurable subgroups in commutative Polish groups using broader measurable frameworks than classical measures.

Findings

Existence of nonmeasurable subgroups in certain Polish groups

Extension of measurable structures beyond sigma-finite measures

New theoretical insights into group measurability properties

Abstract

In this paper, we prove a result on nonmeasurable subgroups in commutative Polish groups with respect to more generalized structures than sigma-finite measures.