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cyclic extension

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См. также в других словарях:

  • Cyclic group — Group theory Group theory …   Wikipedia

  • Cyclic (mathematics) — There are many terms in mathematics that begin with cyclic: Cyclic chain rule, for derivatives, used in thermodynamics Cyclic code, linear codes closed under cyclic permutations Cyclic convolution, a method of combining periodic functions Cycle… …   Wikipedia

  • Cyclic code — In coding theory, cyclic codes are linear block error correcting codes that have convenient algebraic structures for efficient error detection and correction. Contents 1 Definition 2 Algebraic structure 3 Examples …   Wikipedia

  • Cyclic order — In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order cannot be modeled as a binary relation a < b . One does not say that east is more clockwise than west.… …   Wikipedia

  • Abelian extension — In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian. When the Galois group is a cyclic group, we have a cyclic extension. More generally, a Galois extension is called solvable if its Galois group is… …   Wikipedia

  • Free-by-cyclic group — In group theory, a group G is said to be free by cyclic if it has a free normal subgroup F such that the quotient group : G/F is cyclic. In other words, G is free by cyclic if it can be expressed as a group extension of a free group by a cyclic… …   Wikipedia

  • Binary cyclic group — In mathematics, the binary cyclic group of the n gon is the cyclic group of order 2 n , C {2n}, thought of as a extension of the cyclic group C n a cyclic group of order 2.It is the binary polyhedral group corresponding to the cyclic group.ee… …   Wikipedia

  • Group extension — In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence:1 ightarrow N… …   Wikipedia

  • Simple extension — In mathematics, more specifically in field theory, a simple extension is a field extension which is generated by the adjunction of a single element. Simple extensions are well understood and can be completely classified.The primitive element… …   Wikipedia

  • Class formation — In mathematics, a class formation is a structure used to organize the various Galois groups and modules that appear in class field theory. They were invented by Emil Artin and John Tate. Contents 1 Definitions 2 Examples of class formations 3 The …   Wikipedia

  • Kummer theory — In mathematics, Kummer theory provides a description of certain types of field extensions involving the adjunction of n th roots of elements of the base field.The theory was originally developed by Ernst Kummer around the 1840s in his pioneering… …   Wikipedia

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