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When n is an odd number
Other Title(s)
حول النواة المشارك-آرتن للزمرة Dn x C5 عندما N عدد فردي
Author
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 7, Issue 2 (31 Dec. 2015)20 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2015-12-31
Country of Publication
Iraq
No. of Pages
20
Main Subjects
Mathematics
Information Technology and Computer Science
Abstract EN
The group of all Z-valuedgeneralized characters of G over the group of induced unit characters from all cyclic subgroups of G, AC(G)= R (G)/T(G) forms a finite abelian group, called ArtinCokernel of G .The problem of finding the cyclic decomposition of Artincokernel AC( ) has been considered in this paper when n is an odd number , we find that if n = p 1 1 .p 2 2 ..p m m , where p1,p2,…, pm are distinct primes and not equal to 2 , then : AC( )= 2( 1 1 1 ) 1 1 2 1 m i C2 = 2 i 1 AC(Dn) C2 And we give the general form of Artin's characters table Ar( )when n is an odd number .
American Psychological Association (APA)
Muhsin, Basim Karim. 2015. When n is an odd number. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 7, no. 2.
https://search.emarefa.net/detail/BIM-787133
Modern Language Association (MLA)
Muhsin, Basim Karim. When n is an odd number. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 7, no. 2 (2015).
https://search.emarefa.net/detail/BIM-787133
American Medical Association (AMA)
Muhsin, Basim Karim. When n is an odd number. al-Qadisiyah Journal for Computer Science and Mathematics. 2015. Vol. 7, no. 2.
https://search.emarefa.net/detail/BIM-787133
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references.
Record ID
BIM-787133