北京联合大学学报：自然科学版
北京聯閤大學學報：自然科學版
북경연합대학학보：자연과학판
Journal of Beijing Union University
2012年
1期
70-72
,共3页
完全条件置换子群%Sylow子群%极大子群%超可解群
完全條件置換子群%Sylow子群%極大子群%超可解群
완전조건치환자군%Sylow자군%겁대자군%초가해군
Completely conditionally permutable subgroup%Sylow subgroup%Maximal subgroup%Supersolvablegroup
利用Sylow子群及其极大子群在有限群G中完全条件置换得出了G超可解的结论，并把结果推广到群系中，得到了包含超可解群类的饱和群系的充分条件，推广了一些已知结果。
利用Sylow子群及其極大子群在有限群G中完全條件置換得齣瞭G超可解的結論，併把結果推廣到群繫中，得到瞭包含超可解群類的飽和群繫的充分條件，推廣瞭一些已知結果。
이용Sylow자군급기겁대자군재유한군G중완전조건치환득출료G초가해적결론，병파결과추엄도군계중，득도료포함초가해군류적포화군계적충분조건，추엄료일사이지결과。
By using the completely conditional permutability of the Sylow subgroups and its maximal subgroups of finite group G, the sufficient conditions for a finite group G to be supersolvable are proved and the results are generalized to formations. Moreover, the sufficient condition for a saturated formation containing the class of all finite supersolvable groups is also obtained, and some known results are generalized.
