Classical groups Finite groups Group schemes Topological groups Lie groups Super-Lie groups Higher groups Cohomology and Extensions Related concepts The permutations of a set form a group, , under composition. This is especially clear if one thinks of the permutation as a bijection on , where the multiplication / composition is just composition of functions. This group is called the symmetric group of and often denoted , , or similar. The subgroups of symmetric groups are the permutation...