具有弱-可补的准素子群的有限群  

Finite groups with weakly -supplemented primary subgroups

作　　者：谢凤艳[1] 

机构地区：[1]安阳师范学院人文管理学院,河南安阳455000

出　　处：《湖北大学学报（自然科学版）》2015年第4期364-366,371,共4页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11401264);河南省高等学校重点科研资助项目(15A110048)资助

摘　　要：G的子群H在G中弱s-可补,如果G有子群T使得HT=G且H∩T≤HG,其中HG是包含在H中G的极大s-半置换子群.利用准素子群的F-补充及弱s-可补性质刻画群的结构,推广和改进一些已知结论.Let H be a subgroup of a group G,H is weakly s-supplemented in G if G has a subgroup T such that HT=G and H∩T≤ HsG ,where Hsc is the maximal s-semipermutable subgroup of G contained in H. Based on the F-supplemented subgroups and weakly s -semipermutablity of primary subgroups. The structure of finite groups was characterized, some known results were unified and generalized.

关 键 词：准素子群 F-补充子群 弱s-可补子群 饱和群系 

分 类 号：O152.1[理学—数学]