The primary decomposition of the factor group K (G)
Other Title(s)
إيجاد التجزئة الأولية للزمرة الكسرية K (G)
Joint Authors
al-Hiti, Fuad A.
al-Hariri, Manal Naji
Source
Engineering and Technology Journal
Issue
Vol. 29, Issue 9 (31 Dec. 2011), pp.1820-1829, 10 p.
Publisher
Publication Date
2011-12-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Topics
Abstract EN
The main purpose of this work is to find the primary decomposition of the factor group K (G) = cf (G, Z) / (G) (The factor group of all Z-valued class functions module the group of Z-valued generalized characters for elementary Abelian group G), where G is a finite Abelian group of type, Z┬p〖(n),〗 p = 5.
This work depends on finding the rational valued character matrix = * (Z┬5(n))from the character table of and finding the invariant factors of this matrix, also we found the general solution of this decomposition and prove it by mathematical induction.
We have used the MATLAB program to calculate some results of this work.
American Psychological Association (APA)
al-Hariri, Manal Naji& al-Hiti, Fuad A.. 2011. The primary decomposition of the factor group K (G). Engineering and Technology Journal،Vol. 29, no. 9, pp.1820-1829.
https://search.emarefa.net/detail/BIM-290019
Modern Language Association (MLA)
al-Hariri, Manal Naji& al-Hiti, Fuad A.. The primary decomposition of the factor group K (G). Engineering and Technology Journal Vol. 29, no. 9 (2011), pp.1820-1829.
https://search.emarefa.net/detail/BIM-290019
American Medical Association (AMA)
al-Hariri, Manal Naji& al-Hiti, Fuad A.. The primary decomposition of the factor group K (G). Engineering and Technology Journal. 2011. Vol. 29, no. 9, pp.1820-1829.
https://search.emarefa.net/detail/BIM-290019
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1829
Record ID
BIM-290019