On Artin Cokernel of The Group Dn×C7 When n is an Odd Number

Muthanna Journal of Pure Sciences – MJPS

Vol.3 – No. 2 / October 2016

Ass.Lec. Amer Khraja Abed Al-shypany
Al-muthanna Education, Ministry of Education

Abstract

The group of all Z-valued generalized characters of G over the group of induced unit characters from all cyclic subgroups of G, AC(G)= (G)/T(G) forms a finite abelian group, called Artin Cokernel of G .The problem of finding the cyclic decomposition of Artin cokernel AC(Dn×C7) has been considered in this paper when n is an odd number , we find that if n = . .. , where p1,p2,…, pm are distinct primes and not equal to 2

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