Abstract
In this paper it is proved that having a logarithm is equivalent to having roots of arbitrary order in the group of automorphisms of a formal power series ring, and in algebraic subgroups too
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Praagman, C. Roots, iterations and logarithms of formal automorphisms. Aeq. Math. 33, 251–259 (1987). https://doi.org/10.1007/BF01836166
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DOI: https://doi.org/10.1007/BF01836166