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...

This paper explores the risks and reward of ironic communication. We argue that irony can not be characterized simply as having positive or negative social impact, but can serve multiple communicative purposes, depending on the social context and aims of the conversational participants. Irony may either distance, or bond, speakers and listeners. Contrary to the standard view, understanding iron...

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.