Skew left braces of nilpotent type

被引：54

作者：

Cedo, Ferran ^{[1
]}

Smoktunowicz, Agata ^{[2
]}

Vendramin, Leandro ^{[3
,4
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra Barcelon 08193, Spain

[2] Univ Edinburgh, Sch Math, James Clerk Maxwell Bldg,Kings Bldg,Mayfield Rd, Edinburgh EH9 3JZ, Midlothian, Scotland

[3] Consejo Nacl Invest Cient & Tecn, IMAS, Pabellon 1,Ciudad Univ,C1428EGA, Buenos Aires, DF, Argentina

[4] Univ Buenos Aires, Dept Matemat, FCEN, Pabellon 1,Ciudad Univ,C1428EGA, Buenos Aires, DF, Argentina

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2019年 / 118卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

16T25 (primary); 81R50 (secondary); SET-THEORETIC SOLUTIONS; YANG-BAXTER EQUATION; HOPF-GALOIS STRUCTURES; MULTIPERMUTATION SOLUTIONS; CLASSIFICATION; EXTENSIONS; CONJECTURE; RINGS;

D O I：

10.1112/plms.12209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study series of left ideals of skew left braces that are analogs of upper central series of groups. These concepts allow us to define left and right nilpotent skew left braces. Several results related to these concepts are proved and applications to infinite left braces are given. Indecomposable solutions of the Yang-Baxter equation are explored using the structure of skew left braces.

引用

页码：1367 / 1392

页数：26

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