典型文献
Braces whose additive group has a cyclic maximal subgroup
文献摘要：
The problem of constructing all the non-degenerate involutive set theoretic solutions of the Yang-Baxter equation recently has been reduced to the problem of describing all the right braces.In particular,the classification of all finite right braces is fundamental in describing all such solutions of the Yang-Baxter equation.Let H be a right brace of order pn,(H,+)≌Zp×Zpn-1,where n≥4 and p is odd prime.In this paper we prove Soc(H)≠ 1 and classify all right braces H such thatlSoc(H)|=pn-1.
文献关键词：
中图分类号：
作者姓名：
Pujin LI;Lijuan HE;Xinyuan ZHANG
作者机构：
School of Mathematics and Computer Science,Shanxi Normal University,Taiyuan 030031,China
文献出处：
引用格式：
[1]Pujin LI;Lijuan HE;Xinyuan ZHANG-.Braces whose additive group has a cyclic maximal subgroup)[J].中国数学前沿,2022(06):1051-1061
A类：
Braces,involutive,Zpn,thatlSoc
B类：
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AB值：
0.464019
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