Hassan Abass, R. (2016). The Cyclic decomposition and the Artin characters table of the group (Q2m Cp) when m=2h , h ∈ Z+ and p is prime number. Alustath, 8(1), 25-42.
Rajaa Hassan Abass. "The Cyclic decomposition and the Artin characters table of the group (Q2m Cp) when m=2h , h ∈ Z+ and p is prime number". Alustath, 8, 1, 2016, 25-42.
Hassan Abass, R. (2016). 'The Cyclic decomposition and the Artin characters table of the group (Q2m Cp) when m=2h , h ∈ Z+ and p is prime number', Alustath, 8(1), pp. 25-42.
Hassan Abass, R. The Cyclic decomposition and the Artin characters table of the group (Q2m Cp) when m=2h , h ∈ Z+ and p is prime number. Alustath, 2016; 8(1): 25-42.

The Cyclic decomposition and the Artin characters table of the group (Q2m Cp) when m=2h , h ∈ Z+ and p is prime number

Journal of Al-Qadisiyah for Computer Science and Mathematics
Article 1, Volume 8, Issue 1, June 2016, Pages 25-42    PDF (0 K)
Author
Rajaa Hassan Abass
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×Cp when m=2h , h ∈ Z+ and p is prime number (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×Cp) depends on the elementary divisor of m as follows.
if m = 2 , h any positive integer and p is prime number, then:
AC( Q2m×Cp) =
We have also found the general form of Artin's characters table of Ar(Q2m×Cp) when m=2h , h ∈ Z+ and p is prime
number.
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