Title: Artin's character table of the group(Q2m×C4) When m=2h, h? Z+
Authors: Rajaa Hasan Abbas
Volume: 8
Issue: 8
Pages: 90-99
Publication Date: 2024/08/28
Abstract:
Let Q2m be the Quaternion group of order 4m when m=2h, h ? Z+ and C4 be the cyclic group of order 4. Let (Q2m×C4) The direct product of Q2m and C4 such that (Q2mC4 ) = {(q,c):qQ2m ,c C4} and |Q2m×C4|=|Q2m|.|C4|=4m.4=8m. In this paper, we prove that the general form of Artin's characters table of the group (Q2m C4) this table depends on Artin's characters table of a quaternion group of order 4m when m=2h, h ? Z+. which is denoted by Ar(Q2mC4 ).