Source: wikibot/generalized-dihedral-group
= Generalized dihedral group
{wiki=Generalized_dihedral_group}
The Generalized Dihedral Group, often denoted \\( \\text\{GD\}(n) \\) or \\( D_n^* \\), is a group that generalizes the properties of the traditional dihedral group. The dihedral group \\( D_n \\) is the group of symmetries of a regular polygon with \\( n \\) sides, and it includes both rotations and reflections. It has the order \\( 2n \\) (i.e.