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Register a new userON THE COMPLETE EMBEDDING PROBLEM OVER NON-AMPLE FIELDS
حول مسألة التوسيع الكاملة على حقول ليست ضخمة
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نور غازي( باحث )
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نهتم في ورقتنا البحثية هذه بدراسة مسألة غالوا العكسية و علاقتها بمسألة التوسيع الكاملة. نقوم ببناء حقل لأجله تكون كل مسألة توسيع كاملة منشطرة و منتهية معرفة عليه تملك حلا تاماً.
Our goal in this paper is to study the inverse Galois Problem and its relation with complete embedding problem. We construct a field such that every complete finite split embedding problem has a complete solution.
References used
COLEMAN, R 1990- Manin’s proof of Mordells conjecture over functions fields, L’Enseign. Math, 36, 393-427
DEBES, P and FRIED, M. D 1994- Nonrigid constructions in Galois theory, Pasific J. Math. 136, 81-122
DEBES, P and DESCHAMPS, B 1996- The regular inverse Galois problem over Large fields, in Geometric Galois Action, London Math. Soc. Lecture Note Series, vol. 243, L. Schneps and P. Lochak ed., Cambridge University Press, 119-138
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