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加群有循环极大子群的柱

来源 :数学进展 | 被引量 : 0次 | 上传用户：lyzwrf

【摘 要】

：

构造Yang-Baxter方程的非退化对合集论解的问题可归结为构造所有右柱的问题.特别地,所有有限右柱的分类是描述Yang-Baxter方程所有这类解的基础.设H是pn阶右柱,(H,+)≌Zp×Zpn-1,其中n≥4,p是奇素数.本文证明了 |Soc(H)|≠1,并且给出了 |Soc(H)|＝pn-1的H的分类.

【作 者】

：

李璞金 贺丽娟 张新媛 

【机 构】

：

山西师范大学数学与计算机科学学院,临汾,山西,041004

【出 处】

：

数学进展

【发表日期】

：

2021年6期

【关键词】

：

柱 有限p群 Yang-Baxter方程 

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论文部分内容阅读

构造Yang-Baxter方程的非退化对合集论解的问题可归结为构造所有右柱的问题.特别地,所有有限右柱的分类是描述Yang-Baxter方程所有这类解的基础.设H是pn阶右柱,(H,+)≌Zp×Zpn-1,其中n≥4,p是奇素数.本文证明了 |Soc(H)|≠1,并且给出了 |Soc(H)|＝pn-1的H的分类.

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