标题:
有限群特征标的 π-次数The π- Degrees of Characters for Finite Groups
作者:
张月明, 靳平
关键字:
不可约特征标, π-次数, 次正规子群Irreducible Character; π- Degree; Subnormal Subgroup
期刊名称:
《Pure Mathematics》, Vol.2 No.3, 2012-07-27
摘要:
设G为任意有限群，N为G的子群，X是G的一个不可约复特征标。记为X(1)的素因子集合。本文给出了XN的每个不可约分量均有次数的一个条件，推广了Dolfi的相关定理，并给出了若干应用。
Let G be a finite group, N a subgroup of G and X an irreducible complex character of G. Write to denote the set of prime divisors of X（1）. The present paper gives a sufficient condition to guarantee that every irreducible constituent ofXNhasπ- degree, which generalizes the corresponding Dolfi’s theorem. Some applications are given.