Lecturer Rana Hassan h.salman, A., Lecturer Rajaa Hassan Abass, A. (2017). On Artin's characters table of the group (Q2m Cp) when m is an odd number and p is prime number. , 4(1), 1-7.
Ass. Lecturer Rana Hassan h.salman; Ass. Lecturer Rajaa Hassan Abass. "On Artin's characters table of the group (Q2m Cp) when m is an odd number and p is prime number". , 4, 1, 2017, 1-7.
Lecturer Rana Hassan h.salman, A., Lecturer Rajaa Hassan Abass, A. (2017). 'On Artin's characters table of the group (Q2m Cp) when m is an odd number and p is prime number', , 4(1), pp. 1-7.
Lecturer Rana Hassan h.salman, A., Lecturer Rajaa Hassan Abass, A. On Artin's characters table of the group (Q2m Cp) when m is an odd number and p is prime number. , 2017; 4(1): 1-7.

On Artin's characters table of the group (Q2m Cp) when m is an odd number and p is prime number

Journal of Kufa for Mathematics and Computer
Article 1, Volume 4, Issue 1, 2017, Pages 1-7
Authors
Ass. Lecturer Rana Hassan h.salman; Ass. Lecturer Rajaa Hassan Abass
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 ).
Keywords
Key Words; the Quaternion group; the group; Artin; the cyclic subgroup
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