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The Cyclic Decomposition of The Factor Group cf(Q2m×C2,Z)/ (Q2m×C2)When m is an Odd Number | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 22, Issue 6, 2011, Pages 175-188 | ||
| Author | ||
| Jinan Raheem Nima Al-Asady | ||
| Abstract | ||
| The main purpose of this search is to determine the cyclic decomposition of the finite abelian factor group Cf(Q2m×C2,Z) / when m is an odd number, which is denoted by K(Q2m×C2). We have found that the cyclic decomposition of K(Q2m×C2) depends on the elementary divisor of m, if m= where p1, p2,…,pr are distinct primes and α1, α2, …, αr are positive integers, then: K(Q2m×C2)= K(Q2m) C4 C8 . Moreover we have found the rational valued characters table of the group Q2m×C2.We have used the Matlab program to calculate some results of this search. | ||
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