Title: Calculate the Artin's characters table of the group (Q2h+1×C2) when m=2h, h? Z+
Authors: Rajaa Hasan Abbas
Volume: 8
Issue: 9
Pages: 32-39
Publication Date: 2024/09/28
Abstract:
Let Q2m be the Quaternion group of order 4m when m=2h, h ? Z+ and C4 be the cyclic group of order 2. Let (Q2m×C2) The direct product of Q2m and C2 such that |Q2m×C2|=|Q2m|.|C2|=4m.2=8m. In this paper, we prove that the general form of Artin's characters table of the group (Q2m C2) this table depends on Artin's characters table of a quaternion group of order 4m when m is even number which is denoted by Ar (Q2mC2).