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...

A finite group $G$ is called rational if all its irreducible complex characters are rational valued. In this paper we discuss about rational groups with Sylow 2-subgroups of nilpotency class at most 2 by imposing the solvability and nonsolvability assumption on $G$ and also via nilpotency and nonnilpotency assumption of $G$.

In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.

the study of philosophers’ educational ideas and thought is one of the common research interested in the area of educational philosophy and is an introduction to their critiques. in this article, through an analytic- descriptive method, russell’s philosophical reflections are introduced and the educational viewpoints of this outstanding philosopher and mathematician of twentieth century are exa...

In this article, we show that every rational map whose multipliers all lie in a given number field is power map, Chebyshev or Lattès map. This strengthens conjecture by Milnor concerning maps with integer multipliers, which was recently proved Ji and Xie.