- #1
Singularity
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Hey guys. I've been stuck on the following thing for a little while now. Some help would be appreciated.
If p divides o(G) (G an abelian group and p a prime), then show that
G(p) = {g from G | o(g) = p^k for some k }
I keep going round in circles.
P.S. - this is not a homework question, just something I saw in an abstract algebra book that they stated without proof.
If p divides o(G) (G an abelian group and p a prime), then show that
G(p) = {g from G | o(g) = p^k for some k }
I keep going round in circles.
P.S. - this is not a homework question, just something I saw in an abstract algebra book that they stated without proof.