相对于SBPC-相关幂零子群的特征标的稳定子极限  

Character Stabilizer Limits of a Normal SBPC-related Nilpotent Subgroup

作　　者：林静[1] 曾吉文[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2009年第2期149-152,共4页Journal of Xiamen University：Natural Science

基　　金：中德科学中心(GZ310)项目资助

摘　　要：Clifford理论给出了特征标的上下方关系,Dade进一步推广了这种关系,即提出了稳定子极限(Stabilizer limit)的概念.给定一个正规子群N,相对于N的稳定子极限又是这一概念的进一步推广.对于一个有限群G,N G,N是相对SBPC-相关幂零群.本文证明,G的不可约特征标相对于这样的正规子群N的稳定子极限有相同的次数.Clifford theory tell us connections between characters of G and characters of its normal subgroups. Dade generalize these connections by using stabilizer limit of characters. For a normal subgroup of N,there is a stabilizer limit of characters relative to N by Dade. Let G be a fintte group and N a normal SBPC-related nilpotent subgroup of G. We prove that the stabilizer limits of Irrecdueible characters of G relative to N have the same degree.

关 键 词：稳定子极限 Clifford对应 特征标 SBPC-相关幂零群 

分 类 号：O152[理学—数学]