Literature cited
A. Fathi, “Le groupe de transformations de [0, 1] qui préservent la mesure de Lebesgue est un groupe simple,” Israel J. Math.,29, Nos. 2–3, 302–308 (1978).
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Translated from Matematicheskie Zametki, Vol. 38, No. 6, pp. 860–865, December, 1985.
The author is grateful to Yu. S. Palevskaya, V. I. Dmitriev, and A. A. Razborov, whose conversations enabled him to improve the proofs, and also to A. M. Stepin for his attention.
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Ryzhikov, V.V. Representation of transformations preserving the lebesgue measure in the form of periodic transformations. Mathematical Notes of the Academy of Sciences of the USSR 38, 978–981 (1985). https://doi.org/10.1007/BF01157015
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DOI: https://doi.org/10.1007/BF01157015