حول النواة المشارك - ارتن للزمرة (Q2m D3) عندما m عدد زوجي == On Artin Cokernel of The Group (Q2m ? D3) When m is an Even Number
Author name:
زينة مكي كاظم كريم الشمري
Supervisor name:
نصر مرسول محمود البكاء
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:
27T1102 - p.pdf
Abstract:
The main purpose of this thesis, is determination of the cyclic decomposition of the abelian factor group AC(G) = R (G)/T(G) where G = Q2m×D3 and m is an even number,(the group of all Z - valued characters of G over the group of induced unit characters from all cyclic subgroups of G).We have found that the cyclic, decomposition AC(Q2m×D3) depends on the elementary divisor of m as follows.1. if m = 2 h , h is any positive integer, then : AC( Q2m×D3) = 4 We have also found the general form of Artin's characters table of Ar(Q2m×D3) when m is an even number.We have used the Matlab program to calculate some results of this thesis .
