29

Permutations and characters

We have already seen in Chapter 13 that if *G* is a *permutation group*, i.e. a subgroup of *S _{n}* for some

**Group actions**

We begin with a more general notion than that of a permutation group. If Ω is a set, denote by Sym(Ω) the group of all permutations of Ω. In particular, if Ω = {1, 2, . . . , *n*} then Sym(Ω) = *S _{n}*.

*Definition*

Let *G* be a group and Ω a set. ...

Start Free Trial

No credit card required