Is (Q{0}, .) a mixed group? i.e there are two elements distinct from the identity in such a way that one of them is of finite order and the other is of infinite order? I got the example, but can't find that two elements. TIA.
Mixed group example
0
$\begingroup$
abstract-algebra
torsion-groups
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0Please flesh out all of your ideas and what you've tried! – 2017-01-21
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0what is $\mathbb Q\{0\}$? – 2017-01-21
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0I'm guessing you mean $\mathbb{Q}^\times = \mathbb{Q} \setminus \{0\}$? – 2017-01-21
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0Which of the elements can't you find? – 2017-01-21