Character theory approach to Sato–Tate groups

A combinatorial approach to the character theory of split metabelian groups

We call a finite group metabelian if its commutator subgroup is abelian. Thus a split metabelian group is a split extension of one abelian group by a second (possibly trivial) abelian group. In this paper we devise an algorithm for the construction of the character table of any split metabelian group G. The only requisites are that the reader be capable of deriving the character table for an ab...

RATIONAL 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...

non-corrective approach to pronunciation

the aim of this study has been to find answers for the following questions: 1. what is the effect of immediate correction on students pronunciation errors? 2. what would be the effect of teaching the more rgular patterns of english pronunciation? 3. is there any significant difference between the two methods of dealing with pronuciation errore, i. e., correction and the teaching of the regular ...

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...

Character Theory of Symmetric Groups, Subgroup Growth of Fuchsian Groups, and Random Walks