特征标三元组的稳定子极限

Stabilizer limits of character triples

特征标三元组的稳定子极限和线性极限是有限群表示论的基本内容.证明了一个特征标三元组的幂零线性极限也是稳定子极限,并且该三元组的拟本原的次正规诱导子也是稳定子极限,所得结果推广了Isaacs的相关结论.

The stabilizer limits and linear limits of character triples are the basic contents in the representation theory of finite groups.It is proved that a nilpotent linear limit of a given character triple is a stabilizer limit,and a quasiprimitive subnormal inductor of the triple is also a stabilizer limit.The results generalize some relevant theorems of Isaacs.