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Abel–Ruffini theorem and Regular icosahedron

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

Difference between Abel–Ruffini theorem and Regular icosahedron

Abel–Ruffini theorem vs. Regular icosahedron

In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients. In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

Similarities between Abel–Ruffini theorem and Regular icosahedron

Abel–Ruffini theorem and Regular icosahedron have 8 things in common (in Unionpedia): Abelian group, Alternating group, American Mathematical Monthly, Galois group, Icosahedral symmetry, Isomorphism, Normal subgroup, Simple group.

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.

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Alternating group

In mathematics, an alternating group is the group of even permutations of a finite set.

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American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

Abel–Ruffini theorem and American Mathematical Monthly · American Mathematical Monthly and Regular icosahedron · See more »

Galois group

In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.

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Icosahedral symmetry

A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.

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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.

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Normal subgroup

In abstract algebra, a normal subgroup is a subgroup which is invariant under conjugation by members of the group of which it is a part.

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Simple group

In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself.

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The list above answers the following questions

Abel–Ruffini theorem and Regular icosahedron Comparison

Abel–Ruffini theorem has 65 relations, while Regular icosahedron has 163. As they have in common 8, the Jaccard index is 3.51% = 8 / (65 + 163).

References

This article shows the relationship between Abel–Ruffini theorem and Regular icosahedron. To access each article from which the information was extracted, please visit:

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