Annals of Mathematics On the Characters of Finite GroupsBrauer, RichardTate, John
Let G be a finite group,and let X be a nonlinear irreducible character of G.We set T(X)={g∈G|X(g)=0}.There are two dual questions as follows.QuestionⅠ:Classify the finite groups G such that T(X)is a conjugacy class for all but one nonlinear irreducible characters X of G; Que...
Finite groups with two p-regular conjugacy class lengths Let G be a finite p-solvable group for a fixed prime p. We determine the structure of G when the set of p-regular conjugacy class sizes of G is {1, m} for ... A Beltrán,MJ Felipe - 《Bulletin of the Australian Mathematical...
Journal of the London Mathematical SocietyR. Gow, On the Schur indices of characters of finite classical groups, J. London Math. Soc. (2) 24 (1) (1981) 135-147.Gow, R., On the Schur indices of characters of finite classical groups, J. London Math. Soc. (2) 24 (1981), no. 1...
摘要: We prove that if the average of the degrees of the irreducible characters of a finite group $G$ is less than $\frac {16}{5}$, then $G$ is solvable. This solves a conjecture of I. M. Isaacs, M. Loukaki and the first author. We discuss related questions....
NOTES ON CHARACTER DEGREES QUOTIENTS OF FINITE GROUPS 来自 知网 喜欢 0 阅读量: 46 作者: GH Qian 摘要: Set W(n)=∑ 1≤i≤s a i in case n=∏ 1≤i≤s p i a i is the prime number decompositon of the nature number n. For a finite group G, we set W 0(G)=max{W(|G:...
There is an equivalence between the left{\mathbb {C}}[G]-modules and complex linear representations ofG. Let{{\,\mathrm{Irr}\,}}(G)be the set of irreducible characters ofG. For any irreducible character\psi \in {{\,\mathrm{Irr}\,}}(G), if{\mathbb {C}}^Xhas an irreducible sub...
Fourier transform on groups. Part 2: Characters Great thanks to Endagorion and Golovanov399 for helping to understand the theory for this part! In this blog, we will learn the basics of character theory which will allow us to define the inverse Fourier transform on finite groups. Prerequisite...
A finite group is called a PC-group if none of its irreducible complex characters is induced by any character of a proper subgroup. The structure of PC-groups is determined. Hereby the classification of the finite simple groups plays an essential role....
摘要: The finite groups G and G'are said to have the same table of characters when there exist one to one correspondences between their (ordinary) irreducible characters and between their conjugate classes, and=(Ce/) for all/J and a. Even if G and G'have the same table of...