多环群的限制李代数，II
Restricted Lie algebras of polycyclic groups, II
摘要：
这是该系列三篇论文中的第二篇。研究了多环群的限制李代数，得到了与限制李代数交换或自由交换有关的秩等于群的Hirsch数的$p$ -级数存在的条件.我们开发的方法来构建这样的系列，这些方法的基础上建设的过滤和赋值函数的群环。
英文摘要：
This is the second paper in the series of three. We study restricted Lie algebras of polycyclic groups and obtain conditions for existence of $p$-series with associated restricted Lie algebra abelian or free abelian with rank equal to the Hirsch number of the group. We develop methods for constructing such series, these methods are based on construction of filtrations and valuation functions in the group rings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
