1) irreducible nonprincipal characters
非主不可约特征标
1.
In this paper,it is proved by using the character that inducing irreducible nonprincipal characters of some subgroup of a finite group is still irreducible .
给出了子群的非主不可约特征标诱导到大群上仍不可约定理的特征标证明 ,并给出了它的某些性质的特征标证
2) nonlinear irreducible character
非线性不可约特征标
1.
In fact, how the number and the degree of nonlinear irreducible characters of finite groups influnce the structure of groups is an important issue of category theory.
事实上,有限群的非线性不可约特征标个数和次数如何影响群的结构已成为有限群常表示论的一个重要研究课题。
3) irreducible character
不可约特征标
1.
Notes on the restriction and the zeros of an irreducible character of a finite group;
关于有限群的不可约特征标的限制和零元的注记
2.
We establish a relation between the ratio of the order of a non-abelian finite group G to the number of irreducible character of the group and the stucture of the group G,and obtain the lower bound of the ratio by the mininal prime divisor of the order and commutator of the group G,and give a necessary and sufficient condition which attains this lower bound.
本文研究了一般的非交换有限群G的阶与不可约特征标个数的比值与群G结构之间的关系。
3.
In this note,we study a finite π-separable group G with every nonlinear irreducible characters being of π-degree,and get a equivalent condition for G being a π-group,some group theoretic characterizations are also given.
这篇文章中 ,我们研究了一种有限π -可分群G ,它的每一个非线性不可约特征标是π -次的 ,得到了G是π -群的一个等价条件 ,并且给出了一些群理论的特征。
4) ordinary irreducible character
常不可约特征标
5) irreducible modular character
不可约模特征[标]
6) principal indecomposable character
主不可分特征标
补充资料：主特征标
主特征标
principal character
主特征标汇州州网曲田习cter;rJIaB”“益%.paKTep]，Di-rich】et主特征标(D访c拍et pnnciPal cb址acter) 由条件 (l若(，‘，D)二1， X“又凡’一飞。若(n，D)护’定义的算术特征标x。，其中D是给定的自然数.主特征用来定义本原特征和非本原特征标的概念(见砚-rie抽et特征标(D访e比t eharacter)).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条