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math.GR2025
Roots in the substitution group and in the group of Riordan matrices with ones in the main diagonal
Jorge Calero-Sanz, Luis Felipe Prieto-Martínez
We investigate the existence and uniqueness of iterative roots of order within the substitution group of formal power series -- with coefficients in a commutati…
math.GR2025
Bi-infinite Riordan matrices: a matricial approach to multiplication and composition of Laurent series
Luis Felipe Prieto-Martínez, Javier Rico
We propose and investigate a bi-infinite matrix approach to the multiplication and composition of formal Laurent series. We generalize the concept of Riordan matrix to this bi-infi…
math.GR2021
Commutators and commutator subgroups of the Riordan group
Ana Luzón, Manuel A. Morón, Luis Felipe Prieto-Martínez
We calculate the derived series of the Riordan group. To do that, we study a nested sequence of its subgroups, herein denoted by . By means of this sequence, we first…