Is Zp∞ a torsion group? enter image description here
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About Zp∞ https://en.m.wikipedia.org/wiki/Pr%C3%BCfer_group – guojm Apr 12 '17 at 11:34
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1Who upvoted this question? It clearly doesn't fit the rules of how to ask questions here. – Xam Apr 12 '17 at 14:06
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1@Xam I don't think there is a rule that says that one must always vote according to the rules. Maybe the person was just interested in the subject the question handled. – mathreadler Apr 12 '17 at 18:48
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@guojm please don't use links to images off the site, try and keep as much as possible related to the question contained in the question body and as much mathematic formula as possible in MathJax / LaTeX typesetting format. Doing so will greatly increase your chances of positive responses on the site. Ignoring to do so may cause your questions to be closed & unanswerable. – mathreadler Apr 12 '17 at 18:49
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@mathreadler sure there isn't a rule, but IMO upvoting this kind of questions may suggest to the OP that is acceptable to ask in this way. – Xam Apr 12 '17 at 19:46
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@Xam I think the comments as well as the other votes generally send a quite clear signal that something is wrong, but to a new user it would probably be more helpful with a guiding message than downvotes IMO. – mathreadler Apr 12 '17 at 20:02
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@mathreadler Thanks for your kindness.I have learned LaTeX. – guojm Apr 26 '17 at 11:41
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I assume that $\mathbb{Z}_{p^{\infty}}$ is the Prüfer group. This is a subgroup of $\mathbb{Q}/\mathbb{Z}$, and hence torsion. We may identify $\mathbb{Q}/\mathbb{Z}$ as the torsion subgroup of the circle group $S^1\simeq \{\text{$z\in\Bbb C$ such that $||z||=1 $}\}$.
Dietrich Burde
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@DietrichBurde I see, you mean the unit circle in the complex plane under multiplication. – Alex Vong Apr 12 '17 at 13:46