M-群诱导特征标的有关问题和证明

The Relative Questions and Prove of M-group Inductive Character

利用置换特征标定理,研究并讨论了M-群单项特征标与子群的线性特征标之间的诱导问题,并得出单项特征标的乘积为单项特征标的一个充分条件。

Using the character theory, this essay gives the induction of M-group monomial character and finite-group character , and deduces a sufficient condition of the conclusion that the product of the monomial character is still a monomial character.