Some necessary and sufficient conditions for p-nilpotence of finite groups
Some necessary and sufficient conditions for p-nilpotence of finite groups
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DOI：
10.1017/s0004972700037783
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发表时间：
2003-12
影响因子：
0.7
通讯作者：
Huaquan Wei;Yanming Wang;Xiaolei Liu
中科院分区：
文献类型：
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作者：
Huaquan Wei;Yanming Wang;Xiaolei Liu
本文的目的是给出p-幂零群存在的充分必要条件。我们推广了一些结果，包括著名的Burnside定理和Frobenius定理以及一些最近的定理。我们也应用我们的结果来确定一些有限群在形成理论中的结构。
The purpose of this paper is to give some necessary and sufficient conditions for p-nilpotent groups. We extend some results, including the well-known theorems of Burnside and Frobenius as well as some very recent theorems. We also apply our results to determine the structure of some finite groups in terms of formation theory.