论文标题
有力解决和有力简单的团体
Powerfully solvable and powerfully simple groups
论文作者
论文摘要
我们介绍了一个可解决的群体的概念。这些是拥有一个特殊类型的亚伯式系列的强大团体。这些组特别包括强大的尼尔氏群体。我们还将看到，对于某些丰富的强大群体，我们可以自然地介绍一个有力简单的群体，并证明Jordan-Hölder型定理是合理的。
We introduce the notion of a powerfully solvable group. These are powerful groups possessing an abelian series of a special kind. These groups include in particular the class of powerfully nilpotent groups. We will also see that for a certain rich class of powerful groups we can naturally introduce the term powerfully simple group and prove a Jordan-Hölder type theorem that justifies the term.
