arithmetic of Galois fields

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• Trigonometry in Galois fields — In mathematics, the theory of quadratic extensions of finite fields supports analogies with trigonometry.The main motivation to deal with a finite field trigonometry is the power of the discrete transforms, which play an important role in… …   Wikipedia

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• Galois cohomology — In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups. A Galois group G associated to a field extension L / K acts in a natural way… …   Wikipedia

• Finite field arithmetic — Arithmetic in a finite field is different from standard integer arithmetic. There are a limited number of elements in the finite field; all operations performed in the finite field result in an element within that field.While each finite field is …   Wikipedia

• Glossary of arithmetic and Diophantine geometry — This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of… …   Wikipedia

• Field arithmetic — In mathematics, field arithmetic is a subject that studies the interrelations between arithmetic properties of a ql|field (mathematics)|field and its absolute Galois group.It is an interdisciplinary subject as it uses tools from algebraic number… …   Wikipedia

• Grupo absoluto de Galois — En matemática, el grupo absoluto de Galois GK de un campo K es el grupo de Galois de Ksep sobre K, donde Ksep es una clausura separable de K. Alternativamente es el grupo de todos los automorfismos de la clausura algebraica de K que fija K. El… …   Wikipedia Español

• Absolute Galois group — In mathematics, the absolute Galois group GK of a field K is the Galois group of K sep over K , where K sep is a separable closure of K . Alternatively it is the group of all automorphisms of the algebraic closure of K that fix K . The absolute… …   Wikipedia

• арифметика полей Галуа — — [http://www.rfcmd.ru/glossword/1.8/index.php?a=index d=23] Тематики защита информации EN arithmetic of Galois fields …   Справочник технического переводчика