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Jan 16, 2013 at 20:31 comment added Todd Trimble @shatich: it does affect the problem a little, in that the left side of your equation does not read {O($x$): $x \in G$ and $x$ is of finite order}.
Jan 16, 2013 at 18:37 answer added José Hdz. Stgo. timeline score: 16
Jan 16, 2013 at 18:32 vote accept CommunityBot
Jan 16, 2013 at 18:27 answer added Stefan Kohl timeline score: 13
Jan 16, 2013 at 18:22 comment added Ramiro de la Vega For one thing, if $m | n$ and $n \in A$ then $m \in A$. Now you can drop the singleton.
Jan 16, 2013 at 18:19 comment added user30230 @Todd: Yes. Note that this does not affect the generality of the problem. since if $B = A\cup\lbrace\infty\rbrace$ then $G\oplus\mathbb{Z}$ whould be the answer.
Jan 16, 2013 at 18:07 comment added Todd Trimble Just checking: you're requiring every element $x$ in $G$ to be of finite order?
Jan 16, 2013 at 17:55 history asked user30230 CC BY-SA 3.0