| 关于有限群p-幂零性的刻画 |
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| 引用本文： | 潘红飞,刘 秀.关于有限群p-幂零性的刻画[J].江西师范大学学报(自然科学版),2018,0(6):596-599. |
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| 作者姓名： | 潘红飞 刘 秀 |
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| 作者单位： | 1.淮阴师范学院数学科学学院,江苏 淮安 223300; 2.昭通学院数学与统计学院,云南 昭通 657000 |
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| 摘 要： | 设T(G)和k(G)分别为有限群G的复特征标次数和与共轭类数,且设p是素数,若|G|/T(G)<2p/(p+1)或|G|/k(G)<4p/(p+3),则G是p-幂零群.
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| 关 键 词： | 特征标次数和 共轭类 p-幂零性 |
On the Characterization of the p-Nilpotent of Finite Groups |
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| PAN Hongfei,LIU Xiu.On the Characterization of the p-Nilpotent of Finite Groups[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2018,0(6):596-599. |
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| Authors: | PAN Hongfei LIU Xiu |
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| Institution: | 1.School of Mathematical Sciences,Huaiyin Normal University,Huaian Jiangsu 223300,China;
2.School of Mathematics and Statistics,Zhaotong University,Zhaotong Yunnan 657000,China |
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| Abstract: | Let T(G) and k(G) be respectively the sums of all complex irreducible character degrees and the number of conjugacy classes of a finite group G.Let p be a prime number.It is proved that if |G|/T(G)<2p/(p+1) or |G|/k(G)<4p/(p+3),then G is p-nilpotent. |
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| Keywords: | character degree sums conjugacy class p-nilpotent |
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