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Action of G and Q(√ m) and algorithmic implementation for group actions | ||
Journal of Hyperstructures | ||
دوره 1، شماره 1، شهریور 2012، صفحه 41-51 اصل مقاله (435.36 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2012.2539 | ||
نویسندگان | ||
F. Afza* 1؛ I. Shaban Bhatti2؛ M. Aslam Malik3 | ||
1School of Mathematics and System Sciences, Beihang University, P.O. Box 100191 Beijing, China | ||
2School of Material Sciences and Engineering, Beihang University, P.O. Box 100191 Beijing, China | ||
3Department of Mathematics, Punjab University, P.O.Box 54590, Lahore, Pakistan | ||
چکیده | ||
This paper calls for a relationship among the actions of groups G and M on Q(√m). It characterized several significant elements of G in terms of generators of M and vice versa. In this way we cultivate a correlation between the rudiments of these two modular groups. This will help us in discovering various G and M-Subsets of Q(√m). We have also generated an algorithm by using Visual Basic for calculating the congruence classes of different Moduli and manipulating the group actions. | ||
کلیدواژهها | ||
Mobius Groups؛ Quadratic Fields؛ Generators؛ Group Action | ||
آمار تعداد مشاهده مقاله: 42 تعداد دریافت فایل اصل مقاله: 43 |