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Skew left braces of nilpotent type.

Authors :
Cedó, Ferran
Smoktunowicz, Agata
Vendramin, Leandro
Source :
Proceedings of the London Mathematical Society; Jun2019, Vol. 118 Issue 6, p1367-1392, 26p
Publication Year :
2019

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00246115
Volume :
118
Issue :
6
Database :
Complementary Index
Journal :
Proceedings of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
136784878
Full Text :
https://doi.org/10.1112/plms.12209