Faster access than browser!Similarities between Binary icosahedral group and Icosahedral symmetry
Binary icosahedral group and Icosahedral symmetry have 14 things in common (in Unionpedia): Conjugacy class, Coxeter group, Cyclic group, Direct product of groups, Exact sequence, Finite field, Index of a subgroup, Normal subgroup, Point groups in three dimensions, Presentation of a group, Projective linear group, Special linear group, Symmetric group, Tetrahedral symmetry.
Conjugacy class
In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure.
Binary icosahedral group and Conjugacy class · Conjugacy class and Icosahedral symmetry ·
Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
Binary icosahedral group and Coxeter group · Coxeter group and Icosahedral symmetry ·
Cyclic group
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
Binary icosahedral group and Cyclic group · Cyclic group and Icosahedral symmetry ·
Direct product of groups
In group theory, the direct product is an operation that takes two groups and and constructs a new group, usually denoted.
Binary icosahedral group and Direct product of groups · Direct product of groups and Icosahedral symmetry ·
Exact sequence
An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.
Binary icosahedral group and Exact sequence · Exact sequence and Icosahedral symmetry ·
Finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
Binary icosahedral group and Finite field · Finite field and Icosahedral symmetry ·
Index of a subgroup
In mathematics, specifically group theory, the index of a subgroup H in a group G is the "relative size" of H in G: equivalently, the number of "copies" (cosets) of H that fill up G. For example, if H has index 2 in G, then intuitively half of the elements of G lie in H. The index of H in G is usually denoted |G: H| or or (G:H).
Binary icosahedral group and Index of a subgroup · Icosahedral symmetry and Index of a subgroup ·
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.
Binary icosahedral group and Normal subgroup · Icosahedral symmetry and Normal subgroup ·
Point groups in three dimensions
In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere.
Binary icosahedral group and Point groups in three dimensions · Icosahedral symmetry and Point groups in three dimensions ·
Presentation of a group
In mathematics, one method of defining a group is by a presentation.
Binary icosahedral group and Presentation of a group · Icosahedral symmetry and Presentation of a group ·
Projective linear group
In mathematics, especially in the group theoretic area of algebra, the projective linear group (also known as the projective general linear group or PGL) is the induced action of the general linear group of a vector space V on the associated projective space P(V).
Binary icosahedral group and Projective linear group · Icosahedral symmetry and Projective linear group ·
Special linear group
In mathematics, the special linear group of degree n over a field F is the set of matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion.
Binary icosahedral group and Special linear group · Icosahedral symmetry and Special linear 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.
Binary icosahedral group and Symmetric group · Icosahedral symmetry and Symmetric 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.
Binary icosahedral group and Tetrahedral symmetry · Icosahedral symmetry and Tetrahedral symmetry ·
The list above answers the following questions
- What Binary icosahedral group and Icosahedral symmetry have in common
- What are the similarities between Binary icosahedral group and Icosahedral symmetry
Binary icosahedral group and Icosahedral symmetry Comparison
Binary icosahedral group has 68 relations, while Icosahedral symmetry has 96. As they have in common 14, the Jaccard index is 8.54% = 14 / (68 + 96).
References
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