Height of a characterp-blockSymmetric groupQuasi-simple groupIn this paper we first state a conjecture on the lower bound of the maximal height of characters in a p-block of a finite group. Then we show that our conjecture holds for all blocks of covering groups of a sporadic simple group...
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...
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:...
Let G be a finite group and let xG denotes the conjugacy class of an element x of G. In this paper we classify all p-groups G that union of any four distin... M Rezaei - Iranian Group Theory Conference 被引量: 0发表: 2016年 A Note on Zeros of Characters of Finite Groups The ai...
Finite unitary groupCharacteristic mapCharactersSymmetric functionsDeligne–Lusztig theoryEnnola dualityModelIn his classic book on symmetric functions, Macdonald describes a remarkable result by Green relating the character theory of the finite general linear group to transition matrices between bases of ...
On the average number of unitary factors of finite abelian groups Let t(G) be the number of unitary factors of finite abelian group G. In this paper we proveT(x)=∑_(G≤t(G) =main terms+O(x~((1+2k)/(3+4k)+) for any expone... HQ Liu,HQ Liu - 《数学学报(英文版)》 被引...
Denote the class of finite groups that are the product of two normal supersoluble subgroups and the class of groups that are the product of two subnormal supersoluble subgroups byB1andB2, respectively. In this paper, a characterisation of groups inB1or inB2is given. By applying this new char...
1. Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran ; 2. Department of Mathematics, Isfahan University of Technology, Isfahan, Iran ;Springer-VerlagJournal of Applied Mathematics & ComputingA.R. Ashrafi and B. Taeri, On finite groups with a certain number of ...
Remarks on the length of conjugacy classes of finite groups. Cossey J,Wang Yanming. Communications in Algebra . 1999John Cossey and Yanming Wang.remarks on the length of conjugacy classes of finite groups. com, alg . 1999J. Cossey and Y. Wang, Remarks on the length of conjugacy classes of...