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## Homework Statement

Find a set of generators for a p-Sylow subgroup K of S

_{p2}

.

Find the order of K and determine whether it is normal in Sp

^{2}and if it is abelian.

## Homework Equations

## The Attempt at a Solution

So far I have that the order of Sp

^{2}is p

^{2}!. So p

^{2}is the highest power of p that divides the order of the group. Thus the Sylow p-subgroup has order p

^{2}and because of that, has to be abelian. The other parts I'm not so sure on.