Commutators and commutator subgroups of the Riordan group
Group Theory
2021-08-03 v1
Abstract
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 obtain the n-th commutator subgroup of the Associated subgroup. This fact allows us to get some related results about certain groups of formal power series and to complete the proof of our main goal, Theorem 1 in this paper.
Cite
@article{arxiv.2108.00486,
title = {Commutators and commutator subgroups of the Riordan group},
author = {Ana Luzón and Manuel A. Morón and Luis Felipe Prieto-Martínez},
journal= {arXiv preprint arXiv:2108.00486},
year = {2021}
}