广西科学

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刘秀,韦华全,刘小春.弱c^*-正规子群与有限群的p-幂零性[J].广西科学,2008,15(4):325-329. [点击复制]
LIU Xiu,WEI Hua-quan,LIU Xiao-chun.Weakly c^*-normality Subgroups and p-nilpotency of Finite Groups[J].Guangxi Sciences,2008,15(4):325-329. [点击复制]

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*弱c^-正规子群与有限群的p-幂零性**
刘秀¹, 韦华全², 刘小春^3,4
0 字体:加大+\|默认\|缩小-
(1.昭通师范高等专科学校数学系, 云南昭通 657000;2.广西师范学院数学与计算机科学系, 广西南宁 530001;3.郴州市永兴一中, 湖南郴州 423000;4.湘南学院, 湖南郴州 423000)

摘要:

引入弱c^*-正规子群的定义,并利用此定义得到有限群p-幂零的两组充分条件.

关键词: 有限群正规子群 p-幂零

DOI：

投稿时间：2008-07-09

基金项目:国家自然科学基金项目(10571181);广西自然科学基金项目(0447038,0640070);广西教育厅科研基金;广西研究生教育创新计划基金项目(2007106030701M13)资助

Weakly c^*-normality Subgroups and p-nilpotency of Finite Groups

LIU Xiu¹, WEI Hua-quan², LIU Xiao-chun^3,4

(1.Department of Mathematics, Zhaotong Teacher's College, Zhaotong, Yunnan, 657000, China;2.Department of Mathematics and Computer Science, Guangxi Teachers Education University, Nanning, Guangxi, 530001, China;3.No.1 Middle School of Yongxing, Chenzhou, Hunan, 423000, China;4.Xiangnan University, Chenzhou, Hunan, 423000, China)

Abstract:

The definition of weakly c^*-normality subgroups is given, and then two sufficient conditions about p-nilpotent of finite groups are obtained.

Key words: finite groups normality subgroups p-nilpotent

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