abelian field

  • 101Divisible group — In mathematics, especially in the field of group theory, a divisible group is an abelian group in which every element can, in some sense, be divided by positive integers, or more accurately, every element is an nth multiple for each positive… …

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  • 102Parity (physics) — Flavour in particle physics Flavour quantum numbers: Isospin: I or I3 Charm: C Strangeness: S Topness: T Bottomness: B′ Related quantum numbers: Baryon number: B Lepton number: L Weak isospin: T or T3 Electric charge: Q …

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  • 103Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …

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  • 104Galois 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… …

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  • 105Stueckelberg action — In field theory, the Stueckelberg action (named after Ernst Stueckelberg) describes a massive spin 1 field as a R (the real numbers are the Lie algebra of U(1)) Yang Mills theory coupled to a real scalar field φ which takes on values in a real 1D …

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  • 106Leopoldt's conjecture — In algebraic number theory, Leopoldt s conjecture, introduced by H. W. Leopoldt (1962, 1975), states that p adic regulator of a number field does not vanish. The p adic regulator is an analogue of the usual regulator defined using p adic… …

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  • 107Formal power series — In mathematics, formal power series are devices that make it possible to employ much of the analytical machinery of power series in settings that do not have natural notions of convergence. They are also useful, especially in combinatorics, for… …

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  • 108Quaternion group — In group theory, the quaternion group is a non abelian group of order 8. It is often denoted by Q and written in multiplicative form, with the following 8 elements : Q = {1, −1, i , − i , j , − j , k , − k }Here 1 is the identity element, (−1)2 …

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  • 109Affine space — In mathematics, an affine space is an abstract structure that generalises the affine geometric properties of Euclidean space. In an affine space, one can subtract points to get vectors, or add a vector to a point to get another point, but one… …

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  • 110Category of groups — In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms. As such, it is a concrete category. The study of this category is known as group theory.The monomorphisms in Grp are precisely the… …

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