On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of N₄

E. Jorquera , A. Navas , C. Rivas

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keywords alphagroupintervalnilpotentactionsarbitraryby-4case

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We determine the largest {\alpha} for which the nilpotent group of 4-by-4 triangular matrices with integer coefficients and 1 in the diagonal embeds into the group of C1+{\alpha} diffeomorphism of the closed interval.

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On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of N₄

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