Source: wikibot/affine-symmetric-group
= Affine symmetric group
{wiki=Affine_symmetric_group}
The affine symmetric group, often denoted as \\( \\text\{Aff\}(\\mathbb\{Z\}/n\\mathbb\{Z\}) \\) or \\( \\text\{Aff\}(n) \\), is an extension of the symmetric group that includes not only permutations of a finite set but also affine transformations. Specifically, it refers to a group of transformations that act on a finite cyclic group, typically represented as \\( \\mathbb\{Z\}/n\\mathbb\{Z\} \\).