Open Access
1999/2000 Invariant Measurable Structures on Groups and Nonmeasurable Subgroups
A. B. Kharazishvili
Real Anal. Exchange 25(2): 931-936 (1999/2000).


For any group $G$, the notion of an invariant measurable structure on $G$ is introduced. The following question is investigated: does there exist a subgroup of $G$ nonmeasurable with respect to this structure? It is demonstrated that, for an uncountable solvable group $G$, such a subgroup of $G$ always exists.


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A. B. Kharazishvili. "Invariant Measurable Structures on Groups and Nonmeasurable Subgroups." Real Anal. Exchange 25 (2) 931 - 936, 1999/2000.


Published: 1999/2000
First available in Project Euclid: 3 January 2009

zbMATH: 1009.28005
MathSciNet: MR1778544

Primary: 28A05 , 28D05

Keywords: invariant measurable structure , nonmeasurable subgroup , Solvable group , the countable chain condition

Rights: Copyright © 1999 Michigan State University Press

Vol.25 • No. 2 • 1999/2000
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