البيانات التامة الموجهة الدورية من المرتبة حيث P, q عددان أوليان

Authors

  • اسكندر علي

Abstract

استعرضت في هذا البحث الزمرة التآلفية الخطية:

12={xâں¼aدƒx+b ,a≠0,b,x∈GF pq,دƒâˆˆAut GFpq}">

وقد برهنت أنه يوجد في هذه الزمرة فقط زمرة جزئية عظمى وحيدة ذات رتبة فردية, وحددت الشروط اللازمة الكافية لوجود زمرة جزئية ابتدائية في الزمرة التآلفية الخطية, وبموجب ذلك تم بناء جميع البيانات التامة الموجهة التي تقبل الزمرة الجزئية العظمى المذكورة آنفاً كزمرة أوتومورفيزمز.

تدعى هذه البيانات التامة الموجهة بالبيانات التامة الدورية.

We take the linear affine group:

12={xâں¼aدƒx+b ,a≠0,b,x∈GF pq,دƒâˆˆAut GFpq}">

and we consider the odd order subgroups of the linear affine. We show that it has a unique maximal odd order subgroup and we determine all of the primitive subgroups of the linear affine group, so that we construct the data admitting this subgroup as an automorphism group. We call these data Cyclotomic data.

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Published

2018-12-06

How to Cite

1.
علي ا. البيانات التامة الموجهة الدورية من المرتبة حيث P, q عددان أوليان. TUJ-BA [Internet]. 2018Dec.6 [cited 2024Apr.27];32(1). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5149

Issue

Vol. 32 No. 1 (2010): العلوم الأساسية

Section

Articles

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