کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401351 675343 2015 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing Galois groups of polynomials (especially over function fields of prime characteristic)
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Computing Galois groups of polynomials (especially over function fields of prime characteristic)
چکیده انگلیسی

We describe a general algorithm for the computation of Galois groups of polynomials over global fields from the point of view of using it to compute Galois groups of polynomials over function fields with prime characteristic, including characteristic 2 in which some invariants which are efficient to use in other characteristics are invariant for too large a group. We state new invariants for most of these situations when the characteristic is 2. We also describe the use of this algorithm for computing Galois groups of reducible polynomials over both number fields and function fields.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 71, November–December 2015, Pages 73–97
نویسندگان
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