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
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Format: | Article |
Language: | English |
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Elsevier
2016-05-01
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Series: | Transactions of A. Razmadze Mathematical Institute |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809216000106 |