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/sqt/ smart question thread

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/sqt/ - stupid questions thread or QTDDTOT
Ask your brainlet questions.

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If you ask any question, remember that there is almost no universal notation:
>what constitutes a BAD question
If p divides |G|, show that there exists an element of order p.
>what constitutes a GOOD question
Suppose p is a prime that divides the order of a finite group G. Show that there exists an element of order p.