鐘國(guó),馬儇龍,金劍行
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鐘國(guó),馬儇龍,金劍行
(廣西師范學(xué)院 數(shù)學(xué)科學(xué)學(xué)院,廣西 南寧 530023)
2)導(dǎo)出矛盾
2)導(dǎo)出矛盾
2)導(dǎo)出矛盾
3)導(dǎo)出矛盾
分兩種情況進(jìn)行討論:
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[3] KEGEL O H. Sylow-gruppen and subnormalteiler endlicher gruppen [J]. Math Z, 1962, 78: 434-447.
[4] BALLESTER-BOLINCHES A, PEDRAZA-AQUILERA M C. Sufficient conditions for supersolubility of finite groups [J]. J Pure and Applied Algebra, 1998, 127(2): 223-118.
[5] SKIBA A N. On weakly-permutable subgroups of finite groups [J]. J Algebra, 2007, 315(1): 192-209.
[6] 韋華全. 子群特性與有限群結(jié)構(gòu)[D]. 廣州:中山大學(xué),2006.
[7] 郭文彬,繆龍. 極小子群超中心性對(duì)群構(gòu)造的影響[J]. 揚(yáng)州大學(xué)學(xué)報(bào):自然科學(xué)版,1999, 2(3): 1-4.
[8] DOERK K, Hawkes T. Finite soluble groups [M]. Berlin: Walter de Gruyter, 1992.
[9] MIAO Long. On weakly-permutable subgroups of finite groups[J]. Bull Braz Math Soc, 2010, 41(2): 223-235.
[10] 張遠(yuǎn)達(dá). 有限群構(gòu)造:上下冊(cè)[M]. 北京:科學(xué)出版社,1982.
[11] 徐明耀. 有限群導(dǎo)引:上冊(cè)[M]. 北京:科學(xué)出版社,1999.
[13] ASAD M, HELIEL A A. On-quasinormal embedded subgroups of finite groups [J]. J Pure Appl Alge, 2001, 165(2): 129-135.
[14] MIAO Long, ZHOU Yang. On complemented subgroups of finite groups [J]. Czeehoslovak Mathematical Journal, 2006, 131: 1019-1028.
[責(zé)任編輯:熊玉濤]
ZHONGGuo, MAXuan-long, JINJian-xing
(School of Mathematical Science, Guangxi Teachers Education University, Nanning 530023, China)
1006-7302(2013)01-0011-05
O152.1
A
2012-10-19
國(guó)家自然科學(xué)基金資助項(xiàng)目(No.10961007,11161006);廣西自然科學(xué)基金資助項(xiàng)目(0991101,0991102);廣西教育廳科研基金資助項(xiàng)目以及廣西高校人才資助計(jì)劃(5070).
鐘國(guó)(1983—),男,廣西玉林人,在讀碩士生,主要從事有限群理論的研究.