关于有限群p-幂零性的刻画  

On the Characterization of the p-Nilpotent of Finite Groups

作　　者：潘红飞 刘秀 PAN Hongfei;LIU Xiu(School of Mathematical Sciences,Huaiyin Normal University,Huaian Jiangsu 223300,China;School of Mathematics and Statistics,Zhaotong University,Zhaotong Yunnan 657000,China)

机构地区：[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

出　　处：《江西师范大学学报（自然科学版）》2018年第6期596-599,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11801208)资助项目

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.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.

关 键 词：特征标次数和 共轭类 P-幂零性 

分 类 号：O152[理学—数学]