dihedral group


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dihedral group

[dī′hē·drəl ‚grüp]
(mathematics)
The group of rotations of three-dimensional space that carry a regular polygon into itself.
References in periodicals archive ?
Let now k > 1, and let denote the dihedral group of order 2k, and let [C.
2 holds for n = 2 (including the dihedral groups G(m, m, 2)) when l = 1 (see Section 5), and for any l for small values of m, p, n.
Recall, for example, that the classical dihedral groups correspond to the family G(m, m, 2).
a]/Q is a Galois extension whose Galois group is the dihedral group [D.
2n](a) be a small binary dihedral group and let [[GAMMA].
2] = 1> denote the dihedral group with 2m elements.
G] for V being the geometric module (see below) of the symmetric group and for V being any module of the dihedral group in term of words generated by a Cayley graph of G in some specific generators.
2](m), m [greater than or equal to] 1 be the dihedral group of order 2m with generating set {[s.
Since each finite Abelian group and dihedral groups are determined by their endomorphism monoids in the class of all groups (Lemmas 2.
4] of order 4), and there are also subgroups isomorphic to the dihedral groups [D.
16]), which are isomorphic to the dihedral groups [D.
the central product of two dihedral groups of order 8.