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التجزئة الدائرية للزمرة الكسرية cf(Dnh,Z)/ R(Dnh)عندما n عدد زوجي == The Cyclic Decomposition Of The Factor Group cf(Dnh,Z)/R(Dnh) When n Is An Even Number
Author name:
انعام فرحان عذاب
Supervisor name:
حسين هادي عباس النعماني
General topic:
Mathematics
Specific topic:
Mathematics
Degree:
Master
University:
University of Kufa - College Of Education For Girls - Department Of Mathematics
Language:
English
University location:
Najaf
First pages:
27T381 - p.pdf
Abstract:
Let G be a finite group ,the group of all Z - valued class function of G over the group of Z - valued generalized characters of G , forms a finite abelian group .he aim of this thesis , is to find the cyclic decomposition of the factor group K(Dnh) when n is an even number .It was found that : 1 - If , is any positive integer , then K(Dnh) = K(C ) K(C ) K(C4 ) K(C4 ) = K(D ) K(C ) C C4 C4 . 2 - If , are distinct primes for all i =1,2,….m and an are positive integers K(Dnh)= K(Cn) C C8 C4 C2 = K(Dn) K(Cn) C C8 C4 and we also give the general form of the rational values characters table of Dnh when n is an even number .Matlab programs are used to calculate some of the results of this thesis
