On Coprime G-conjugacy Class Sizes in a Normal Subgroup

作     者：Xian He ZHAO Hai Peng QU Gui Yun CHEN 

作者机构：College of Mathematics and Information Science He 'nan Normal University Xinxiang 453007 P. R. China Department of Mathematics Shanxi Normal University Linfen 041004 P. R. China School of Mathematics and Statistics Southwest University Chongqing 400715 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第9期

页      面：1588-1594页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by National Natural Science Foundation of China(Grant No.11271301) NSFC-He’nan Joint Fund(Grant No.U1204101) 

主　　题：Normal subgroups G-conjugacyclass sizes Frobenius group 

摘      要：Let N be a normal subgroup of a group G. Suppose that the positive integers m 〉 n are two longest non-central G-conjugacy class sizes of N with （m, n） = 1. The purpose of this paper is to determine the structure of N and give the N-conjugacy class sizes of the elements in N under that assumption that m is square free.