Give an example of an infinite group generated by two elements of finite order. I can't think of any on top of my head.
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1Infinite dihedral group? $\text{SL}_2(\Bbb Z)$? – Angina Seng Jun 10 '17 at 11:19
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Exact duplicate of https://math.stackexchange.com/a/314890/442 – GEdgar Jun 10 '17 at 11:50