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Abelian variety and List of group theory topics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Abelian variety and List of group theory topics

Abelian variety vs. List of group theory topics

The differences between Abelian variety and List of group theory topics are not available.

Similarities between Abelian variety and List of group theory topics

Abelian variety and List of group theory topics have 21 things in common (in Unionpedia): Abelian group, Algebraic geometry, Algebraic group, Automorphism, Commutative property, Cyclic group, Elliptic curve, Equivalence relation, Ferdinand Georg Frobenius, Field (mathematics), Finite field, Finitely generated abelian group, Free abelian group, Group scheme, Identity element, Integer, Lattice (group), Niels Henrik Abel, Symmetric group, Up to, Vector space.

Abelian group

In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.

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Algebraic geometry

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

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Algebraic group

In algebraic geometry, an algebraic group (or group variety) is a group that is an algebraic variety, such that the multiplication and inversion operations are given by regular maps on the variety.

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Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

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Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

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Cyclic group

In algebra, a cyclic group or monogenous group is a group that is generated by a single element.

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Elliptic curve

In mathematics, an elliptic curve is a plane algebraic curve defined by an equation of the form which is non-singular; that is, the curve has no cusps or self-intersections.

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Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

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Ferdinand Georg Frobenius

Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory.

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Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

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Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

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Finitely generated abelian group

In abstract algebra, an abelian group is called finitely generated if there exist finitely many elements x1,..., xs in G such that every x in G can be written in the form with integers n1,..., ns.

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Free abelian group

In abstract algebra, a free abelian group or free Z-module is an abelian group with a basis.

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Group scheme

In mathematics, a group scheme is a type of algebro-geometric object equipped with a composition law.

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Identity element

In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Lattice (group)

In geometry and group theory, a lattice in \mathbbR^n is a subgroup of the additive group \mathbb^n which is isomorphic to the additive group \mathbbZ^n, and which spans the real vector space \mathbb^n.

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Niels Henrik Abel

Niels Henrik Abel (5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields.

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Symmetric group

In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

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Up to

In mathematics, the phrase up to appears in discussions about the elements of a set (say S), and the conditions under which subsets of those elements may be considered equivalent.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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The list above answers the following questions

Abelian variety and List of group theory topics Comparison

Abelian variety has 107 relations, while List of group theory topics has 280. As they have in common 21, the Jaccard index is 5.43% = 21 / (107 + 280).

References

This article shows the relationship between Abelian variety and List of group theory topics. To access each article from which the information was extracted, please visit:

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