Universal sequences for the order-automorphisms of the rationals

This is the accepted version of the following article: J. Hyde, J. Jonusas, J. D. Mitchell, and Y. Peresse, Universal sequences for the order-automorphisms of the rationals, J. London Math. Soc., first published online May 13, 2016 which has been published in final form at doi:10.1112/jlms/jdw015

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