Simple, Abelian Groups

May 2010
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0
Need help with a proof:

Prove that a finite, simple, Abelian group must be isomorphic to Z_p for some prime p.
 

Drexel28

MHF Hall of Honor
Nov 2009
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Berkeley, California
Need help with a proof:

Prove that a finite, simple, Abelian group must be isomorphic to Z_p for some prime p.
Hint 1:

Since \(\displaystyle G\) is abelian every subgroup is normal and so the only subgroups can be the trivial one or the full group.

Hint 2:

If \(\displaystyle G\)'s only subgroups are the trivial one or the full group it is cyclic/