منابع مشابه
Character Sums Associated to Finite Coxeter Groups
The main result of this paper is a character sum identity for Coxeter arrangements over finite fields which is an analogue of Macdonald’s conjecture [19] proved by Opdam [21]. 0. Introduction Throughout this paper F will denote a finite field of characteristic p different from 2. We first slightly reformulate Macdonald’s conjecture in a form which has a direct analogue over F. Let G be a finite...
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These are some notes I have written up for myself. I have compiled what I feel to be some of the most important facts concerning characters on finite abelian groups, especially from a number theoretic point of view. I decided to distribute these because I couldn’t find a single reference that covered everything that I thought was relevant to the material I will discuss on Wednesday. Of course, ...
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Let Fq be a finite field with q elements, where q is the power of an odd prime, and let GSp(2n, Fq) and GO±(2n, Fq) denote the symplectic and orthogonal groups of similitudes over Fq, respectively. We prove that every real-valued irreducible character of GSp(2n, Fq) or GO±(2n, Fq) is the character of a real representation, and we find the sum of the dimensions of the real representations of eac...
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We present some results on character degree sums in connection with several important characteristics of finite groups such as p-solvability, solvability, supersolvability, and nilpotency. Some of them strengthen known results in the literature.
متن کاملRATIONAL CHARACTER TABLE OF SOME FINITE GROUPS
The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2015
ISSN: 0933-7741,1435-5337
DOI: 10.1515/forum-2013-0066