On Finite Soluble Groups
On Finite Soluble Groups
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DOI：
10.1017/s1446788700005851
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发表时间：
1969-02
影响因子：
0.7
通讯作者：
J. Ward
中科院分区：
文献类型：
--
作者：
J. Ward
设p是一类有限可解群，g是饱和群系。则若G是一个极小阶群，它属于p而不属于g，则G的Fitting子群F（G）是G的唯一极小正规子群。下面的命题适用于具有这种性质的群。
Let p be a class of finite soluble groups which is closed under epimorphic images and let g be a saturated formation. Then if G is a group of minimal order belonging to p but not to g, F(G), the Fitting subgroup of G, is the unique minimal normal subgroup of G. It is to groups with this property that the following proposition is applicable.