几乎M可补子群对有限群超中心构造的影响  

Influence of nearly M-supplemented subgroups on the structure of hypercentre of finite groups

作　　者：喻静[1] 李德才[2] 汤菊萍 Yu Jing;Li Decai;Tang Juping(School of Mathematical Science,Yangzhou University,Yangzhou 225002,Jiangsu,China;Department of Scientific Research ＆ Industry,Yangzhou Polytechnic College,Yangzhou 225000,Jiangsu,China;Wuxi Institude of Technology,Wuxi 214100,Jiangsu,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]扬州市职业大学科技产业处,江苏扬州225000 [3]无锡职业技术学院,江苏无锡214100

出　　处：《江苏师范大学学报（自然科学版）》2018年第3期54-56,共3页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11701223)

摘　　要：称群G的子群H在G中是几乎M可补的,若存在G的正规子群K,使得HK G,且对于H的任意极大子群Hi都有HiK<HK.利用Sylow子群P的极大子群在正规化子NG(P)中的几乎M可补性质,结合H子群的几乎m嵌入性质,研究群的p超可解性、广义超中心.Let H be a subgroup of G. H is nearly M- supplemented in G if G has a normal subgroup K such that HK _ G and HK〈HK for every maximal subgroup Hi of H. The nearly M-supplemented properties of the maximal subgroups of Sylow subgroups in its normalizers and the nearly m-embedded properties of S subgroups are used to reveal - supersolvable and puφ- hypercentre of finite groups.

关 键 词：SYLOW子群 puφ超中心 P超可解群 几乎M可补子群 

分 类 号：O152.1[理学—数学]