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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
The list above answers the following questions
- What Combinatorics and Group theory have in common
- What are the similarities between Combinatorics and Group theory
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
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