# Infinite Groups

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Find an infinite group such that every element has finite order.

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Find examples of the following: an infinite group such that every element has finite order.

An example is the quotient group Q/Z with the group operation addition "+". We will prove that every element of Q/Z has finite order.

Proof. First of all, the group operation here is addition. Q is the set of rational numbers, Z the set of ...

#### Solution Summary

An infinite group is exemplified, such that every element has finite order

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