On page 55 of Abstract Algebra in the proof of Proposition 2.3, it is assumed that $n=|x|$. I don't understand why $n$ has to be equal to $|x|$. Please help to clarify this.
2026-04-01 21:54:29.1775080469
Proposition 2.3 (Cyclic Groups) in Dummit and Foote
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The proof starts with:
This defines $n$ to be the order of $|x|$. It is not an assumption.