November 13, 2016
Artin's characters table of the group Q2m×D4 when m is a prime number
Authors Naba Hasoon Jaber
Journalglobal journal of mathematics
Abstract
The main purpose of this paper is to find Artin's characters table of the group Q2p×D4 when p is a prime number, which is denoted by Ar(Q2p×D4), where Q2p is denoted to quaternion group of order 4p, such that for each positive integer p, there are two generators x and y for Q2p satisfies Q2p={xh yk, 0≤h≤2p-1, k=0,1}which has the properties x2p=y4=I, yxry-1=x-r and D4 is the dihedral group of order 8 is generate by a rotation r of order 4 and reflection s of order 2. The eight elements of D4 can be written as: {I*,r,r2, r3,s, sr, sr2,sr3}with properties srks = r-k, k = 0,1,2,3.