dihedral group of degree 3 and order 6. It equals the symmetric group S3. It is also the smallest non-abelian group. This page illustrates many group...

mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the...

physics. One of the simplest examples of a non-abelian group is the dihedral group of order 6. It is the smallest finite non-abelian group. A common example...

root of unity. The group Gal ⁡ ( L / Q ) {\displaystyle \operatorname {Gal} (L/\mathbb {Q} )} is isomorphic to S3, the dihedral group of order 6, and...

mathematics, the infinite dihedral group Dih∞ is an infinite group with properties analogous to those of the finite dihedral groups. In two-dimensional geometry...

is D3, the dihedral group of order 6. The isometry group of a two-dimensional sphere is the orthogonal group O(3). The isometry group of the n-dimensional...

nonabelian symmetric group. This group is isomorphic to the dihedral group of order 6, the group of reflection and rotation symmetries of an equilateral triangle...

this group is known as the dihedral group of order 8, and is either denoted Dih4, D4 or D8, depending on the convention. This was an example of a non-abelian...

abnormal growth of cells on the cervix d6, a d electron count of a transition metal complex D6, in mathematics, the dihedral group of order 6 D6-DMSO or deuterated...

the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group...