Find link

language:

Find link is a tool written by Edward Betts.

searching for Generalized dihedral group 4 found (7 total)

alternate case: generalized dihedral group

Symmetry group (2,283 words) [view diff] exact match in snippet view article find links to article

a translation and a reflection; they are isomorphic with the generalized dihedral group of Z, Dih(Z), also denoted by D∞ (which is a semidirect product

Conjugation of isometries in Euclidean space (931 words) [view diff] exact match in snippet view article find links to article

all translations and the inversions in all points. This is the generalized dihedral group dih (Rn). Similarly { I, −I } is a normal subgroup of O(n), and

Euclidean group (2,146 words) [view diff] exact match in snippet view article find links to article

of all translations and inversion in all points; this is the generalized dihedral group of R3, Dih(R3). E(1), E(2), and E(3) can be categorized as follows

One-dimensional symmetry group (1,839 words) [view diff] exact match in snippet view article find links to article

and a translation a gives a − b − x. This group is called the generalized dihedral group of Z, Dih(Z), and also D∞. It is a semidirect product of Z and