- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
On ArtinCokernel of The Group D_n×C_5 When n is an Odd Number | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 7, Issue 2, 2015, Pages 146-165 PDF (0 K) | ||
| Author | ||
| Bassim Kareem Mihsin | ||
| Abstract | ||
| The group of all Z-valuedgeneralized 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 ArtinCokernel of G .The problem of finding the cyclic decomposition of Artincokernel AC(D_n×C_5) has been considered in this paper when n is an odd number , we find that if n = p .p ..p , where p1,p2,…, pm are distinct primes and not equal to 2 , then : AC(D_n×C_5)= C2 = AC(Dn) C2 And we give the general form of Artin's characters table Ar(D_n×C_5)when n is an odd number . | ||
|
Statistics Article View: 401 PDF Download: 97 |
||