A subgroup H of a finite group G is said to be F(G)-subnormal if it is subnormal in HF(G), where F(G) is the Fitting subgroup of G. In the paper, the problem of whether or not a formation β contains products of F(G)-subnormal β-subgroups of finite solvable groups is studied. In particular, solvable saturated formations β with this property are described. Formation properties of groups having three solvable F(G)-subnormal subgroups with pairwise coprime indices are studied. The supersolvability of any group G having three supersolvable F(G)-subnormal subgroups whose indices in G are pairwise coprime is proved.

中文翻译：

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有限可解群的F（G）-次正规子群的形成和乘积

如果有限群G的子群H在H F（G）中是次正规的，则称它是F（G）-次正规的，其中F（G）是G的拟合子群。没有研究β包含有限可解基团的F（G）-亚正态β-亚基的产物。特别地，描述了具有这种性质的可溶解的饱和地层β。研究了具有成对的互质指数的三个可解F（G）-次正规子群的群的形成特性。具有三个超可解F（G的任何G组的超可解性）证明了G中的索引是成对的互素的次正规子群。