哈尔滨师范大学自然科学学报
哈爾濱師範大學自然科學學報
합이빈사범대학자연과학학보
NATURAL SCIENCES JOURNAL OF HARBIN NORMAL UNIVERSITY
2011年
5期
22-23,26
,共3页
S-弱拟正规%p-幂零群%可解%超可解%Sylow子群
S-弱擬正規%p-冪零群%可解%超可解%Sylow子群
S-약의정규%p-멱령군%가해%초가해%Sylow자군
S - weakly quasinormal subgroup%Solvable group%Supersolvable group%Nilpotent group%Sylow group
从某一个特殊的子群出发研究一些子群对群结构的影响是群论研究的一个重要方向,利用S-弱拟正规子群及弱拟正规子群来研究一些群的结构,得出了一些群的可解性,超可解性以及幂零性.
從某一箇特殊的子群齣髮研究一些子群對群結構的影響是群論研究的一箇重要方嚮,利用S-弱擬正規子群及弱擬正規子群來研究一些群的結構,得齣瞭一些群的可解性,超可解性以及冪零性.
종모일개특수적자군출발연구일사자군대군결구적영향시군론연구적일개중요방향,이용S-약의정규자군급약의정규자군래연구일사군적결구,득출료일사군적가해성,초가해성이급멱령성.
It is a well - known fact that properties of subgroups of a group influence can influence the structure of the group. The concepts that is weakly to some new criteria of solvability, su quasinormal subgroup and S -weakly quasinormal subgroup can come perrsolvability and nilpotence of finite group Under the assumptions, the groups have some kinds of weakly quasinormal or S - weakly quasinormal subgroups.
