Abstract

In the article we study \(\omega\)-fibered and \(\Omega\)-foliated formations and Fitting classes of finite groups which are constructed using two functions named a function-satellite and a function-direction. We have established some properties of functions-directions which give new examples of \(\omega\)-fibered and \(\Omega\)-foliated formations and Fitting classes of finite groups.

中文翻译：

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关于$$ \ boldsymbol {\ omega} $$-有纤维和$$ \ boldsymbol {\ Omega} $$的方向-有限群的叶形和拟合类

摘要

在本文中，我们研究了\（\ omega \）-纤维状和\（\ Omega \）-叶状结构以及有限组的Fitting类，这些有限组是使用两个称为卫星函数和函数方向的函数构造的。我们已经建立了函数方向的一些属性，这些属性给出了\（\ omega \）-纤维状和\（\ Omega \）-叶状结构以及有限群的Fitting类的新示例。