About a question concerning Q-groups

AbstractA Q-group is a finite group all of whose ordinary complex representations have rationally valued characters. Let G be a solvable Q-group so that the Schur index mR(χ) = 1 for all χ ∈ Irr(G). In [3, Note 1, p. 285] Gow asks if not, under these conditions, already mQ(χ) = 1 for all χ ∈ Irr(G). In this paper we shall prove that the answer of this question is positive. The notations and definitions will be those of [6]

Ambivalent groups having a faithful monomial irreducible character

In this note we shall study the structure of the finite groups having a nonlinear faithful monomial irreducible character of minimal degree

About the splitting field for rational valued characters

The problem of finding the splitting field for group characters is very old and important (see [4], Chapter 9). The most part of the papers on this subject are concerned with all irreducible characters of a group under certain conditions. It seems more difficult to obtain minimal splitting fields for only one character without strong conditions about the group. In this case, naturally,the number theoretical methods play an essential role. This paper concerns to prove that under certain circumstances if a rational character of a group has Q(21/2,i) as splitting field, then Q(i) or even Q(21/2) are splitting fields too

Some Aspects Regarding the Analysis of the Life Insurance Market

This paper aims to draw-up an analysis of the life insurance market in Romania. This survey is drawn up for the period 2003-2006 and the data used for this analysis were taken over from the Annual Reports published by the Insurance Supervision Commission. Life insurance market in Romania is a steady growing market as a result of the economic growth and the purchase power but is still far away from the development stage of the European markets