= Infinite dihedral group
{wiki=Infinite_dihedral_group}
The infinite dihedral group, usually denoted as \\( D_\{\\infty\} \\) or sometimes \\( D_\{\\infty\}^* \\), is a mathematical structure in group theory that extends the concept of the dihedral groups. While the finite dihedral group \\( D_n \\) represents the symmetries of a regular polygon with \\( n \\) sides (including rotations and reflections), the infinite dihedral group captures symmetries of an infinite linear arrangement.
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