从阿贝尔群在自身上的作用到左 brace
群论
2023-10-12 v2 环与代数
摘要
我们基于阿贝尔群在自身上的适当作用及一个不变性条件,给出一类右幂零类至多为二的左 brace 的构造。该构造使我们能够重新得到自由右幂零单生成二类左 brace 的构造。
引用
@article{arxiv.2304.00532,
title = {From actions of an abelian group on itself to left braces},
author = {Adolfo Ballester-Bolinches and Ramón Esteban-Romero and Leonid A. Kurdachenko and Vicent Pérez-Calabuig},
journal= {arXiv preprint arXiv:2304.00532},
year = {2023}
}
备注
20 pages. Changed title and approach with respect to previous versions. This version emphasises the role of the construction of left braces of right nilpotency class at most from an action of an abelian group on itself