Source: wikibot/jordan-s-theorem-symmetric-group
= Jordan's theorem (symmetric group)
{wiki=Jordan's_theorem_(symmetric_group)}
Jordan's theorem in the context of symmetric groups refers to a result concerning the structure of finite symmetric groups, \\( S_n \\). The theorem states that any transitive subgroup of \\( S_n \\) has a normal subgroup that is either abelian or contains a subgroup of index at most \\( n \\).