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Automorphism and Principal homogeneous space

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

Difference between Automorphism and Principal homogeneous space

Automorphism vs. Principal homogeneous space

In mathematics, an automorphism is an isomorphism from a mathematical object to itself. In mathematics, a principal homogeneous space, or torsor, for a group G is a homogeneous space X for G in which the stabilizer subgroup of every point is trivial.

Similarities between Automorphism and Principal homogeneous space

Automorphism and Principal homogeneous space have 9 things in common (in Unionpedia): Category theory, Continuous function, General linear group, Group (mathematics), Isomorphism, Linear algebra, Manifold, Mathematics, Vector space.

Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).

Automorphism and Category theory · Category theory and Principal homogeneous space · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

Automorphism and Continuous function · Continuous function and Principal homogeneous space · 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.

Automorphism and General linear group · General linear group and Principal homogeneous space · 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.

Automorphism and Group (mathematics) · Group (mathematics) and Principal homogeneous space · 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.

Automorphism and Isomorphism · Isomorphism and Principal homogeneous space · See more »

Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Automorphism and Linear algebra · Linear algebra and Principal homogeneous space · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Automorphism and Manifold · Manifold and Principal homogeneous space · See more »

Mathematics

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

Automorphism and Mathematics · Mathematics and Principal homogeneous space · 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.

Automorphism and Vector space · Principal homogeneous space and Vector space · See more »

The list above answers the following questions

Automorphism and Principal homogeneous space Comparison

Automorphism has 94 relations, while Principal homogeneous space has 62. As they have in common 9, the Jaccard index is 5.77% = 9 / (94 + 62).

References

This article shows the relationship between Automorphism and Principal homogeneous space. To access each article from which the information was extracted, please visit:

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