- #1

- 50

- 0

## Homework Statement

Let Q

_{n}= {x in S

_{n}| x=y

^{2}for some y in S

_{n}}.

Is it true or false that Q

_{n}= A

_{n}?

## Homework Equations

## The Attempt at a Solution

I'm inclined to say it's false because of the strangeness of S

_{2}. Shouldn't A

_{2}contain both the identity and (12)? But (12)(12) is the identity so it seems there is no way to get (12) by the definition of Q. Is this correct or am I missing something?