Similarities between Alternating group and Regular icosahedron
Alternating group and Regular icosahedron have 7 things in common (in Unionpedia): Abelian group, Icosahedral symmetry, Normal subgroup, Simple group, Symmetric group, Symmetry group, Tetrahedral symmetry.
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.
Abelian group and Alternating group · Abelian group and Regular icosahedron ·
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.
Alternating group and Icosahedral symmetry · Icosahedral symmetry and Regular icosahedron ·
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.
Alternating group and Normal subgroup · Normal subgroup and Regular icosahedron ·
Simple group
In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself.
Alternating group and Simple group · Regular icosahedron and Simple group ·
Symmetric group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.
Alternating group and Symmetric group · Regular icosahedron and Symmetric group ·
Symmetry group
In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.
Alternating group and Symmetry group · Regular icosahedron and Symmetry group ·
Tetrahedral symmetry
A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.
Alternating group and Tetrahedral symmetry · Regular icosahedron and Tetrahedral symmetry ·
The list above answers the following questions
- What Alternating group and Regular icosahedron have in common
- What are the similarities between Alternating group and Regular icosahedron
Alternating group and Regular icosahedron Comparison
Alternating group has 42 relations, while Regular icosahedron has 163. As they have in common 7, the Jaccard index is 3.41% = 7 / (42 + 163).
References
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