On Artin's characters table of the group (Q2m Cp) when m is an odd number and p is prime number
DOI:
https://doi.org/10.31642/JoKMC/2018/040101Keywords:
the Quaternion group, the group (Q2m Cp ), Artin's characters table, the cyclic subgroup.Abstract
In this paper, we prove that the general form of Artin's characters table of the group (Q2m Cp ) such that Q2m be the Quaternion group of order 4m when m is an odd number and Cp be the cyclic group of order p when p is prime number and (Q2m×Cp) be direct product of Q2m and Cp such that (Q2m Cp ) = {(q,c):q Q2m ,c Cp} and |Q2m×Cp|=|Q2m|.|Cp|=4m.p=4pm. This table which depends on Artin's characters table of a quaternion group of order 4m when m is an odd number. which is denoted by Ar(Q2m Cp ).Downloads
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Copyright (c) 2017 Rajaa Hassan Abass, Rana Hassan h. salman
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