Zobrazeno 1 - 10
of 7 377
pro vyhledávání: '"irreducible character"'
Autor:
Craven, David A.
We consider problems concerning the largest degrees of irreducible characters of symmetric groups, and the multiplicities of character degrees of symmetric groups. Using evidence from computer experiments, we posit several new conjectures or extensio
Externí odkaz:
http://arxiv.org/abs/2410.01726
Autor:
Qian, Guohua, Zeng, Yu
For an irreducible complex character $\chi$ of a finite group $G$, the codegree of $\chi$ is defined by $|G:\ker(\chi)|/\chi(1)$, where $\ker(\chi)$ is the kernel of $\chi$. Given a prime $p$, we provide a classification of finite groups in which eve
Externí odkaz:
http://arxiv.org/abs/2411.04478
Akademický článek
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Autor:
Yang, Dongfang, Zeng, Yu
For an irreducible character $\chi$ of a finite group $G$, the codegree of $\chi$ is defined as $|G:\ker(\chi)|/\chi(1)$. In this paper, we determine finite nonsolvable groups with exactly three nonlinear irreducible character codegrees, and they are
Externí odkaz:
http://arxiv.org/abs/2208.07785
Autor:
EL SHARIF, RAMADAN1 rsharif@wilberforce.edu, LEWIS, MARK L.2 lewis@math.kent.edu
Publikováno v:
Albanian Journal of Mathematics. 2024, Vol. 18 Issue 1, p3-18. 16p.
Autor:
Elsharif, Ramadan, Lewis, Mark L.
We are interested in determining the bound of the average of the degrees of the irreducible characters whose degrees are not divisible by some prime $p$ that guarantees a finite group $G$ of odd order is $p$-nilpotent. We find a bound that depends on
Externí odkaz:
http://arxiv.org/abs/2203.12704
Akademický článek
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Let $G$ be a finite group and $p\in \pi(G)$, and let Irr$(G)$ be the set of all irreducible complex characters of $G$. Let $\chi \in {\rm Irr}(G)$, we write ${\rm cod}(\chi)=|G:{\rm ker} \chi|/\chi(1)$, and called it the codegree of the irreducible c
Externí odkaz:
http://arxiv.org/abs/2102.07132
Autor:
Hafezieh, Roghayeh, Spiga, Pablo
Let $G$ be a finite group. The bipartite divisor graph for the set of irreducible complex character degrees is the undirected graph with vertex set consisting of the prime numbers dividing some character degree and of the non-identity character degre
Externí odkaz:
http://arxiv.org/abs/1906.08515