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.
Abelian group and Abelian variety · Abelian group and List of group theory topics ·
Algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.
Abelian variety and Algebraic geometry · Algebraic geometry and List of group theory topics ·
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.
Abelian variety and Algebraic group · Algebraic group and List of group theory topics ·
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Abelian variety and Automorphism · Automorphism and List of group theory topics ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Abelian variety and Commutative property · Commutative property and List of group theory topics ·
Cyclic group
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
Abelian variety and Cyclic group · Cyclic group and List of group theory topics ·
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.
Abelian variety and Elliptic curve · Elliptic curve and List of group theory topics ·
Equivalence relation
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.
Abelian variety and Equivalence relation · Equivalence relation and List of group theory topics ·
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.
Abelian variety and Ferdinand Georg Frobenius · Ferdinand Georg Frobenius and List of group theory topics ·
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.
Abelian variety and Field (mathematics) · Field (mathematics) and List of group theory topics ·
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.
Abelian variety and Finite field · Finite field and List of group theory topics ·
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.
Abelian variety and Finitely generated abelian group · Finitely generated abelian group and List of group theory topics ·
Free abelian group
In abstract algebra, a free abelian group or free Z-module is an abelian group with a basis.
Abelian variety and Free abelian group · Free abelian group and List of group theory topics ·
Group scheme
In mathematics, a group scheme is a type of algebro-geometric object equipped with a composition law.
Abelian variety and Group scheme · Group scheme and List of group theory topics ·
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.
Abelian variety and Identity element · Identity element and List of group theory topics ·
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").
Abelian variety and Integer · Integer and List of group theory topics ·
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.
Abelian variety and Lattice (group) · Lattice (group) and List of group theory topics ·
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.
Abelian variety and Niels Henrik Abel · List of group theory topics and Niels Henrik Abel ·
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.
Abelian variety and Symmetric group · List of group theory topics and Symmetric group ·
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.
Abelian variety and Up to · List of group theory topics and Up to ·
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.
Abelian variety and Vector space · List of group theory topics and Vector space ·
The list above answers the following questions
- What Abelian variety and List of group theory topics have in common
- What are the similarities between Abelian variety and List of group theory topics
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: