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## Homework Statement

What is the normalizer of the Sylow p-subgroup in the symmetric group Sym(p) generated by the element (1,2,...,p) where p is a prime number?

Thanks

## Homework Equations

na

## The Attempt at a Solution

I know that the normalizer has order p(p-1). And I know that it has to include the group generated by (1,2,...,p). I know there must be elements outside <(1,2,...,p)> that conjugates (1,2,...,p) to (1,2,...,p)^n but what are their forms?

Your help will be greatly appreciated.