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    Infinite Groups

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

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    https://brainmass.com/math/group-theory/infinite-group-elements-12004

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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 ...

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

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