Title: The cyclic decomposition of the group (Q2mC2) when m=2h, h ? Z+
Authors: Rajaa Hasan Abbas
Volume: 8
Issue: 9
Pages: 38-44
Publication Date: 2024/09/28
Abstract:
The main purpose of this paper, is determination of the cyclic decomposition of the abelian factor group AC(G) =(G)/T(G) where G = Q2m×C2 when m=2h, h ? Z+ (the group of all Z-valued characters of G over the group of induced unit characters from all cyclic subgroups of G). We have found that the cyclic, decomposition AC(Q2m×C2) depends on the elementary divisor of m as follows.