Q-conjugacy character table for the non-rigid group of 2,3-dimethylbutane

The Character Group of Q

The characters of a finite abelian group G are the homomorphisms from G to the unit circle S1 = {z ∈ C : |z| = 1}. Two characters can be multiplied pointwise to define a new character, and under this operation the set of characters of G forms an abelian group, with identity element the trivial character, which sends each g ∈ G to 1. Characters of finite abelian groups are important, for example...

THE CHARACTER TABLE OF A SPLIT EXTENSION OF THE HEISENBERG GROUP H1(q) BY Sp(2, q), q ODD

In this paper we determine the full character table of a certain split extension H1(q)⋊Sp(2, q) of the Heisenberg group H1 by the odd-characteristic symplectic group Sp(2, q).

On Two Methods for Computing the Non-Rigid Group of Molecules

In this paper, two methods are described, by means of which it is possible to calculate the non rigid group of molecules consisting of a number of XH3 groups attached to a rigid framework. The first method is a combination of the wreath product formalism of Balasubramanian and modern computer algebra and the second method is a computational approach by using group theory package GAP. We apply t...

Math 248a. the Character Group of Q

THE RATIONAL CHARACTER TABLE OF SPECIAL LINEAR GROUPS

In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).