1.Previous
3.Next

set then the name may be abbreviated to , , , or .

Symmetric groups on infinite sets behave quite differently from symmetric groups on finite sets, and are discussed in , , and .

The symmetric group on a set of elements has order (the factorial of ). It is abelian if and only if is less than or equal to 2. For and (the empty set and the singleton set),

1.Previous
3.Next