nilpotency

基本解釋

The nilpotency of finite groups was studied by the properties of semidirect product,and some good results were got.
通過半直積的性質(zhì)來研究有限群的冪零性,并得到一些好的結(jié)果。
By using NE-subgroup, some new criteria are given for the nilpotency and solvability and supersolvability of finite groups.
給出了有限群的冪零性、超可解性和可解性的一些新的刻畫。
Using some conjugate-permutable subgroups of a group and the minimal counterexample method,the nilpotency of finite groups is investigated.
利用群的某些共軛置換子群及極小階反例法,研究了有限群的冪零性問題,并獲得了一個群為冪零的若干充分條件。
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.
研究次正規(guī)子群對有限群結(jié)構(gòu)的影響,得到冪零群的若干等價條件和一個充分條件。
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.
本文以純代數(shù)的觀點討論了左對稱代數(shù)的若干性質(zhì)，如右單位、可遞性、冪零性、核理想等。