Finite groups with C-quasinormal subgroups

被引：11
|
作者：
Skiba, A. N. [1 ]
Titov, O. V.
机构：
[1] F Scorina Gomel State Univ, Gomel, BELARUS
[2] Belorussian State Univ Transport, Gomel, BELARUS
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2007年 / 48卷 / 03期
关键词：
Sylow subgroup; supplement to a subgroup; supersolvable group; quasinormal subgroup; saturated formation;
D O I：
10.1007/s11202-007-0056-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider some finite group G and a finite subgroup H of G. Say that H is c-quasinormal in G if G has a quasinormal subgroup T such that HT = G and T boolean AND H is quasinormal in G. Given a noncyclic Sylow subgroup P of G. we fix some subgroup D such that 1 < vertical bar vertical bar D < vertical bar P vertical bar and study the structure of G under the assumption that all subgroups H of P of the same order as D, having no supersolvable supplement in G, are c-quasinormal in G.
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页码：544 / 554
页数：11
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