The Rational Valued Characters Table of the group Q2p×D4 when p is aPrime Number | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 3, Issue 2, December 2016, Pages 1-10 | ||
| Authors | ||
| Naba Hasoon Jabir; Prof.Naseer Rasool Mahmood | ||
| Abstract | ||
| The main purpose of this paper is to findthe 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={xhyk, 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 | ||
| Keywords | ||
| character; rational; group | ||
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