Commutators and commutator subgroups of the Riordan group

被引：1
|
作者：
Luzon, Ana [1 ]
Moron, Manuel A. [2 ,3 ]
Prieto-Martinez, Luis Felipe [4 ]
机构：
[1] Univ Politecn Madrid, Dept Matemat Aplicada, ETSI Montes, Madrid, Spain
[2] Univ Complutense Madrid, Dept Algebra Geometria & Topol, Madrid, Spain
[3] Inst Matemat Interdisciplinar IMI, Madrid, Spain
[4] Univ Politecn Madrid, Dept Matemat Aplicada, ETS Arquitectura, Madrid, Spain
来源：
ADVANCES IN MATHEMATICS | 2023年 / 428卷
关键词：
Commutator subgroup; Derived series; Riordan group; INVOLUTIONS; MATRICES; LENGTH;
D O I：
10.1016/j.aim.2023.109164
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We calculate the derived series of the Riordan group. To do this, we study a nested sequence of its subgroups, herein denoted by Gk. 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. & COPY; 2023 Elsevier Inc. All rights reserved.
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页数：20
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