湖南文理学院学报(自然科学版)
湖南文理學院學報(自然科學版)
호남문이학원학보(자연과학판)
JOURNAL OF HUNAN UNIVERSITY OF ARTS AND SCIENCE(NATURAL SCIENCE EDITION)
2008年
1期
9-12
,共4页
Slyow－子群%可解子群%极大子群
Slyow－子群%可解子群%極大子群
Slyow－자군%가해자군%겁대자군
Sylow subgroups%solvable groups%maximal subgroup
令F是一个包含超可解群类的饱和群系,H是群G 的一个可解正规子群,满足G/N∈F, 如果F(H)的每个非循环Sylow-子群的极大子群在G中C－可补,那么G∈F.
令F是一箇包含超可解群類的飽和群繫,H是群G 的一箇可解正規子群,滿足G/N∈F, 如果F(H)的每箇非循環Sylow-子群的極大子群在G中C－可補,那麽G∈F.
령F시일개포함초가해군류적포화군계,H시군G 적일개가해정규자군,만족G/N∈F, 여과F(H)적매개비순배Sylow-자군적겁대자군재G중C－가보,나요G∈F.
Let F be a saturated formation containingU.Suppo-se that G be a group with a solvable normal subgroup H such that G/H∈F,if every maximal subgroup of any non-cycHc Sylow subgroup of F(H)is c-supplemented in G,then G∈F.
