关于置换特征标的一个注记

A Note on Permutation Characters of Finite Groups

利用有限秩自由R-模V与一个G-集Ω构造出一个G-模VΩ,并给出了由它定义的特征标的计算公式,我们的结果是置换模R[Ω]定义的特征标的一个推广。

In this paper, we construct a new representation module Va of finite group G by using a free R-module V of finite rank and a G-set Ω, and compute the character defined by VΩ, which generalizes the character defined by Permutation module R[Ω].