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 ?
Thus, the m-cover poset yields a Fuss-Catalan generalization of the above mentioned Cambrian lattices, namely a family of lattices parametrized by an integer m, such that the case m = 1 yields the corresponding Cambrian lattice, and the cardinality of these lattices is the generalized Fuss-Catalan number of the dihedral group and the symmetric group, respectively.
Let now k > 1, and let denote the dihedral group of order 2k, and let [C.
In Section 6 we compute the orbicycle index polynomial for the dihedral groups.
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).
2] = 1> denote the dihedral group with 2m elements.
2] -cohomology of the dihedral groups, the classes [w.
Finally in section 4, we apply our general method in the case of the dihedral group [D.
We will present in this section the case of the dihedral group [D.
2](m), m [greater than or equal to] 1 be the dihedral group of order 2m with generating set {[s.