Title: Rational valued characters table of the group(Q2m×C4) When m=2h, h? Z+
Authors: Rajaa Hasan Abbas
Volume: 8
Issue: 8
Pages: 67-71
Publication Date: 2024/08/28
Abstract:
Let C4 be the cyclic group of order 4 and Q2m be the Quaternion group of order 4m when m=2h, h ? Z+. Let (Q2m×C4) The direct product of Q2m and C4 when |Q2m×C4|=|Q2m|.|C4|=4m.4=8m. In this paper, we prove that the general form of a rational valued characters table of the group (Q2m C4) this table depends on a rational valued characters of a quaternion group of order 4m when m=2h, h ? Z+.