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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…
math.GR2018
The group generated by Riordan involutions
Ana Luzon, Manuel A. MorÓn, L. Felipe Prieto-Martinez
We prove that any element in the group generated by the Riordan involutions is the product of at most four of them. We also give a description of this subgroup as a semidirect prod…