Title: Calculate the Rational valued characters table of the group(Q2m×C7) When m=2h, h? Z+
Authors: Rajaa Hasan Abbas
Volume: 9
Issue: 8
Pages: 97-99
Publication Date: 2025/08/28
Abstract:
Let C7 be the cyclic group of order 7 and Q2m be the Quaternion group of order 4m when m=2h, h ? Z+. Let (Q2m×C7) The direct product of Q2m and C7 when |Q2m×C7|=|Q2m|.|C7|=4m.7=28m. In this paper, we prove that the general form of a rational valued characters table of the group (Q2m C7) this table depends on a rational valued characters of a quaternion group of order 4m when m=2h, h ? Z+.