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Jul 14, 2010 at 12:08 comment added Amitesh Datta That is indeed true. Thanks for noting this!
Jul 14, 2010 at 10:03 comment added Tobias Kildetoft Actually, the proof that all Dedekindian groups of odd order are abelian is somewhat simpler than the classification and can be used to prove the classification. What you do is, you prove it for p-groups using that if a p-group has just one subgroup of order p and p is odd, then the group is cyclic. Since the group is clearly the direct product of its Sylow-subgroups it then follows.
Jul 14, 2010 at 4:41 history answered Amitesh Datta CC BY-SA 2.5