FINITE GROUPS WITH SOME PRIMARY SUBGROUPS F-s-SUPPLEMENTED
FINITE GROUPS WITH SOME PRIMARY SUBGROUPS F-s-SUPPLEMENTED
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DOI：
10.1081/agb-200065375
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发表时间：
2005-07
影响因子：
0.7
通讯作者：
L. Miao;W. Guo
中科院分区：
文献类型：
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作者：
L. Miao;W. Guo
设F是一类群。如果群G的子群K存在，使得G = HK且K|K∩HG属于f，则群G中的子群H称为G中的f -s补群。我们得到了关于f -s补群的一些结果，并用它们来确定一些群的结构。特别地，得到了基团的p-零性、溶解度、超溶解度的一些新判据。
Let F be a class of groups. A subgroup H of a group G is called F-s-supplemented in G if there exists a subgroup K of G such that G = HK and K|K ∩ HG belongs to F. We obtain some results about the F-s-supplemented subgroups and use them to determine the structure of some groups. In particular, some new criteria of p-nilpotency, solubility, supersolubility of a group are obtained.