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On a class of non-measurable groups

Published online by Cambridge University Press:  24 October 2008

A. J. Cole  and
S. Świerczkowski
A. J. Cole
Affiliation:
Queen's College, Dundee
S. Świerczkowski
Affiliation:
Institute of Mathematics, Polish Academy of Sciences
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Extract

A group G will be called measurable if there exists a real-valued, non-negative set function μ(A) defined on all subsets A ⊂ G which satisfies .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 2 , April 1961 , pp. 227 - 229
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

(1)Kurosh, A. G., The theory of groups (New York, 1956).Google Scholar
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(3)Von Neumann, J., Zur allgemeinen Theorie des Masses. Fund. Math. 13 (1929), 73–116.Google Scholar