I'm trying to show that there is not one sentence (formula) that if a group satisfies this formula it is equivalent to the group being infinite. I can show this in a hap hazard way analogous to the same problem in the empty language , but how do you use the fact that the model is a group and there are arbitrarily large groups?(adsbygoogle = window.adsbygoogle || []).push({});

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# Proving a group is infinite

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