ON THE $p$-LENGTH AND THE WIELANDT LENGTH OF A FINITE $p$-SOLUBLE GROUP
ON THE $p$-LENGTH AND THE WIELANDT LENGTH OF A FINITE $p$-SOLUBLE GROUP
复制标题
DOI：
10.1017/s0004972713000026
复制
发表时间：
2013-03
影响因子：
0.7
通讯作者：
N. Su;Yanming Wang
中科院分区：
文献类型：
--
作者：
N. Su;Yanming Wang
摘要有限p-可解群的p-长度是一个重要的不变参数.著名的Hall-Higman $p$-长度定理指出一个$p$-可解群的$p$-长度被它的Sylow $p$-子群的幂零类上有界。在本文中，我们改进了这一结果，给出了一个更好的估计$p$-可解群的$p$-长度的其他不变参数的Sylow $p$-子群。
Abstract The $p$-length of a finite $p$-soluble group is an important invariant parameter. The well-known Hall–Higman $p$-length theorem states that the $p$-length of a $p$-soluble group is bounded above by the nilpotent class of its Sylow $p$-subgroups. In this paper, we improve this result by giving a better estimation on the $p$-length of a $p$-soluble group in terms of other invariant parameters of its Sylow $p$-subgroups.