On negligible and absolutely nonmeasurable subsets of uncountable solvable groups

It is proved that every uncountable solvable group contains two negligible sets whose union is an absolutely nonmeasurable subset of the same group. Keywords: Solvable group, Invariant measure, Quasi-invariant measure, Negligible set, Absolutely nonmeasurable set

Bibliographic Details
Main Author: Alexander Kharazishvili
Format: Article
Language:English
Published: Elsevier 2016-05-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809216000106