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Le groupe des transformations de \([0,1]\) qui preservent la mesure de Lebesgue est un groupe simple. (French) Zbl 0375.28008


MSC:

28D05 Measure-preserving transformations
20G99 Linear algebraic groups and related topics
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References:

[1] D. B. Epstein, Diff(M)is simple?, Symposium on Differential Equations and Dynamical Systems, Warwick, 1968–69, Lecture Notes206, Springer-Verlag, pp. 52–54.
[2] N. A. Friedman,Introduction to Ergodic Theory, Van Nostrand, Reinhold, 1970. · Zbl 0212.40004
[3] P. R. Halmos,Ergodic Theory, Chelsea, 1956.
[4] S. Harada,Remarks on the topological group of measure preserving transformations, Proc. Japan Acad.27 (1951), 523–526. · Zbl 0044.12503
[5] G. Higman,On infinite simple permutation groups, Publ. Math. Debrecen3 (1953–54), 221–226. · Zbl 0057.25801
[6] M. Keane,Contractibility of the automorphism group of a non-atomic measure space, Proc. Amer. Math. Soc.26 (1970), 420–422. · Zbl 0201.56701
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