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Combinatorics and Group theory

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

Difference between Combinatorics and Group theory

Combinatorics vs. Group theory

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

Similarities between Combinatorics and Group theory

Combinatorics and Group theory have 17 things in common (in Unionpedia): Abstract algebra, Algebraic topology, Cayley graph, Classification of finite simple groups, Combinatorial group theory, Finite set, Geometry, Group theory, Harmonic analysis, Leonhard Euler, Mathematical structure, Mathematics, Metric space, Number theory, Permutation, Representation theory, 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 Combinatorics · Abstract algebra and Group theory · See more »

Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

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

Cayley graph

In mathematics, a Cayley graph, also known as a Cayley colour graph, Cayley diagram, group diagram, or colour group is a graph that encodes the abstract structure of a group.

Cayley graph and Combinatorics · Cayley graph and Group theory · See more »

Classification of finite simple groups

In mathematics, the classification of the finite simple groups is a theorem stating that every finite simple group belongs to one of four broad classes described below.

Classification of finite simple groups and Combinatorics · Classification of finite simple groups and Group theory · See more »

Combinatorial group theory

In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations.

Combinatorial group theory and Combinatorics · Combinatorial group theory and Group theory · See more »

Finite set

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

Combinatorics and Finite set · Finite set 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.

Combinatorics and Geometry · Geometry and Group theory · See more »

Group theory

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

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

Harmonic analysis

Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis).

Combinatorics and Harmonic analysis · Group theory and Harmonic analysis · See more »

Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

Combinatorics and Leonhard Euler · Group theory and Leonhard Euler · See more »

Mathematical structure

In mathematics, a structure on a set is an additional mathematical object that, in some manner, attaches (or relates) to that set to endow it with some additional meaning or significance.

Combinatorics and Mathematical structure · Group theory and Mathematical structure · See more »

Mathematics

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

Combinatorics and Mathematics · Group theory and Mathematics · See more »

Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

Combinatorics and Metric space · Group theory and Metric space · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

Combinatorics and Number theory · Group theory and Number theory · See more »

Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

Combinatorics and Permutation · Group theory and Permutation · 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.

Combinatorics and Representation theory · Group theory and Representation theory · 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.

Combinatorics and Vector space · Group theory and Vector space · See more »

The list above answers the following questions

Combinatorics and Group theory Comparison

Combinatorics has 171 relations, while Group theory has 224. As they have in common 17, the Jaccard index is 4.30% = 17 / (171 + 224).

References

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

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