| 有限幂零群通过单群扩张的整群环的正规化子性质 |
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| 引用本文： | 海进科,李正兴.有限幂零群通过单群扩张的整群环的正规化子性质[J].数学学报,2012(5):791-796. |
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| 作者姓名： | 海进科 李正兴 |
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| 作者单位： | 青岛大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11171169,11071155) |
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| 摘 要： | 设G是一个有限幂零群通过单群的扩张,即G有一个幂零正规子群N,使得G/N是单群.本文证明了这样的有限群G具有正规化子性质.特别地,内可解群有正规化子性质.
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| 关 键 词： | 正规化子问题 整群环 Coleman自同构 |
The Normalizer Property for Integral Group Rings of Extensions of Finite Nilpotent Groups by Simple Groups |
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| Jin Ke HAI Zheng,Xing LI.The Normalizer Property for Integral Group Rings of Extensions of Finite Nilpotent Groups by Simple Groups[J].Acta Mathematica Sinica,2012(5):791-796. |
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| Authors: | Jin Ke HAI Zheng Xing LI |
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| Institution: | College of Mathematics,Qingdao University,Qingdao 266071,P.R.China |
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| Abstract: | Let G be an extension of finite nilpotent group by a simple group,i.e.G has a nilpotent normal subgroup N such that G/N is a simple group.It is shown that the normalizer property holds for such groups G.In particular,the normalizer property holds for inner solvable groups. |
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| Keywords: | the normalizer problem integral group rings Coleman automorphisms |
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