On the group extension of the transformation associated to non-archimedean continued fractions (Q2568527)

By considering a finite field \(\mathbb F_q\) with \(q\) elements the author manages to prove some arithmetic properties for almost every formal Laurent series of \(\mathbb F_q\) coefficients with their continued faction expansions by \(\mathbb F_q\) polynomials with respect to the Haar measure. In particular the paper is focused on the construction of a group extension of the non-archimedean continued fraction transformation in the case of studying his ergodicity and the convergence rate for limit behaviours.