nilpotency

基本解释

The nilpotency of finite groups was studied by the properties of semidirect product,and some good results were got.
通过半直积的性质来研究有限群的幂零性,并得到一些好的结果。
By using NE-subgroup, some new criteria are given for the nilpotency and solvability and supersolvability of finite groups.
给出了有限群的幂零性、超可解性和可解性的一些新的刻画。
Using some conjugate-permutable subgroups of a group and the minimal counterexample method,the nilpotency of finite groups is investigated.
利用群的某些共轭置换子群及极小阶反例法,研究了有限群的幂零性问题,并获得了一个群为幂零的若干充分条件。
Considering the subnormal subgroups,some equivalent conditions for nilpotency of finite groups are given and a sufficient condition for nilpotency of finite groups is obtained.
研究次正规子群对有限群结构的影响,得到幂零群的若干等价条件和一个充分条件。
In this paper, we discuss some properties of left-symmetric algebras from the view of algebra, for example, right identity, transitivity, nilpotency, kernel ideal, and so on.
本文以纯代数的观点讨论了左对称代数的若干性质，如右单位、可递性、幂零性、核理想等。