Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Algebraic combinatorics and Group theory

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

Difference between Algebraic combinatorics and Group theory

Algebraic combinatorics vs. Group theory

Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

Similarities between Algebraic combinatorics and Group theory

Algebraic combinatorics and Group theory have 17 things in common (in Unionpedia): Abstract algebra, Binary relation, Character theory, Combinatorics, Euclidean geometry, Finite field, Finite set, General linear group, Geometry, Group (mathematics), Group action, Group theory, Isomorphism, Mathematics, Representation theory, Symmetric group, Vector space.

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

Abstract algebra and Algebraic combinatorics · Abstract algebra and Group theory · See more »

Binary relation

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

Algebraic combinatorics and Binary relation · Binary relation and Group theory · See more »

Character theory

In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix.

Algebraic combinatorics and Character theory · Character theory and Group theory · See more »

Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

Algebraic combinatorics and Combinatorics · Combinatorics and Group theory · See more »

Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

Algebraic combinatorics and Euclidean geometry · Euclidean geometry and Group theory · See more »

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.

Algebraic combinatorics and Finite field · Finite field and Group theory · See more »

Finite set

In mathematics, a finite set is a set that has a finite number of elements.

Algebraic combinatorics and Finite set · Finite set and Group theory · See more »

General linear group

In mathematics, the general linear group of degree n is the set of invertible matrices, together with the operation of ordinary matrix multiplication.

Algebraic combinatorics and General linear group · General linear group and Group theory · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Algebraic combinatorics and Geometry · Geometry and Group theory · See more »

Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

Algebraic combinatorics and Group (mathematics) · Group (mathematics) and Group theory · See more »

Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

Algebraic combinatorics and Group action · Group action and Group theory · See more »

Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

Algebraic combinatorics and Group theory · Group theory and Group theory · See more »

Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

Algebraic combinatorics and Isomorphism · Group theory and Isomorphism · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Algebraic combinatorics and Mathematics · Group theory and Mathematics · See more »

Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

Algebraic combinatorics and Representation theory · Group theory and Representation theory · See more »

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.

Algebraic combinatorics and Symmetric group · Group theory and Symmetric group · See more »

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.

Algebraic combinatorics and Vector space · Group theory and Vector space · See more »

The list above answers the following questions

Algebraic combinatorics and Group theory Comparison

Algebraic combinatorics has 82 relations, while Group theory has 224. As they have in common 17, the Jaccard index is 5.56% = 17 / (82 + 224).

References

This article shows the relationship between Algebraic combinatorics and Group theory. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »