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3-sphere and Non-abelian group

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

Difference between 3-sphere and Non-abelian group

3-sphere vs. Non-abelian group

In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere. In mathematics, and specifically in group theory, a non-abelian group, sometimes called a non-commutative group, is a group (G, ∗) in which there exists at least one pair of elements a and b of G, such that a ∗ b ≠ b ∗ a.

Similarities between 3-sphere and Non-abelian group

3-sphere and Non-abelian group have 5 things in common (in Unionpedia): Abelian group, Group (mathematics), Lie group, Mathematics, Rotation group SO(3).

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.

3-sphere and Abelian group · Abelian group and Non-abelian group · 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.

3-sphere and Group (mathematics) · Group (mathematics) and Non-abelian group · See more »

Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

3-sphere and Lie group · Lie group and Non-abelian group · See more »

Mathematics

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

3-sphere and Mathematics · Mathematics and Non-abelian group · See more »

Rotation group SO(3)

In mechanics and geometry, the 3D rotation group, often denoted SO(3), is the group of all rotations about the origin of three-dimensional Euclidean space R3 under the operation of composition.

3-sphere and Rotation group SO(3) · Non-abelian group and Rotation group SO(3) · See more »

The list above answers the following questions

3-sphere and Non-abelian group Comparison

3-sphere has 103 relations, while Non-abelian group has 18. As they have in common 5, the Jaccard index is 4.13% = 5 / (103 + 18).

References

This article shows the relationship between 3-sphere and Non-abelian group. To access each article from which the information was extracted, please visit:

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