The Rational Valued Characters Table of the group Q2p×D4 when p is a Prime Number
DOI:
https://doi.org/10.31642/JoKMC/2018/030201Keywords:
Character, rational, group, Q2p, D4Abstract
The main purpose of this paper is to find the rational valued characters table of the group Q2p×D4 when p is a prime number, which is denoted by ≡*(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 , 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.
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Copyright (c) 2016 Prof.Naseer Rasool Mahmood, Naba Hasoon Jabir
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