7.2 Due March 8

Difficult)))

I have NO IDEA how the example of order of an element of S3 works?  what is the operation of raising S3 to a power?????????????
HA!
It's a composition of permutations.  3->2,2->1 and so 1->1 ect...so the exponent on a permutation is the definition of that permutation composed of itself that number of times.

Let G be an abelian group in which every element has finite order.  If c in G is an element of largest order in G (|a| <= |c| for all a in G) then the order of every element of G dividec |c|....
But what does that even mean???

Reflective)))
I remember being in Trig and being told that i^4 = 1...and that it is a cyclical group...and having no idea what that meant...Coooooooooooll.