ON F-QUASINORMAL PRIMARY SUBGROUPS OF FINITE GROUPS

被引:4
作者
Miao, Long [1 ]
Li, Baojun [2 ]
机构
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R China
[2] Chengdu Univ Informat Technol, Sch Math, Chengdu, Peoples R China
关键词
Finite groups; F-Quasinormal subgroup; Saturated formation; Sylow subgroup; SUPPLEMENTED SUBGROUPS; SYLOW SUBGROUPS;
D O I
10.1080/00927872.2010.498801
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a finite group and F a formation. A subgroup H is called F-quasinormal in G if there exists a quasinormal subgroup T of G such that HT is quasinormal in G and (HnT)H(G)/H(G) is contained in the F-hypercenter Z(infinity)(F) (G/H(G)) of G/H(G). In this article, we study the structure of finite groups by using F-quasinormal subgroups and prove that: Let F be a saturated formation containing U and G be a group with a normal subgroup H such that G/H is an element of F. If every maximal subgroup of every noncyclic Sylow subgroup of F*(H) having no supersolvable supplement in G is U-quasinormal in G, then G is an element of F.
引用
收藏
页码:3515 / 3525
页数:11
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