[1]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,(06):596-599.[doi:10.16357/j.cnki.issn1000-5862.2018.06.08]
 PAN Hongfei,LIU Xiu.On the Characterization of the p-Nilpotent of Finite Groups[J].,2018,(06):596-599.[doi:10.16357/j.cnki.issn1000-5862.2018.06.08]
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关于有限群p-幂零性的刻画()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2018年06期
页码:
596-599
栏目:
数学与应用数学
出版日期:
2018-12-20

文章信息/Info

Title:
On the Characterization of the p-Nilpotent of Finite Groups
文章编号:
1000-5862(2018)06-0596-04
作者:
潘红飞1刘 秀2
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
Author(s):
PAN Hongfei1LIU Xiu2
1.School of Mathematical Sciences,Huaiyin Normal University,Huaian Jiangsu 223300,China; 2.School of Mathematics and Statistics,Zhaotong University,Zhaotong Yunnan 657000,China
关键词:
特征标次数和 共轭类 p-幂零性
Keywords:
character degree sums conjugacy class p-nilpotent
分类号:
O 152
DOI:
10.16357/j.cnki.issn1000-5862.2018.06.08
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-05-10
基金项目:国家自然科学基金(11801208)资助项目.
作者简介:潘红飞(1985-),男,江苏淮安人,讲师,博士,主要从事有限群论研究.E-mail:hfpanha@163.com
更新日期/Last Update: 2018-12-20