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Avoid associating nonzero elements with groups

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Marek 2021-09-05 19:04:58 +02:00
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book/src/background/fields.md
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@ -48,7 +48,7 @@ and fewer axioms. They also have an identity, which we'll denote as $1$.
[group]: https://en.wikipedia.org/wiki/Group_(mathematics)
[group-axioms]: https://en.wikipedia.org/wiki/Group_(mathematics)#Definition
Any non-zero element $a$ in a group has an _inverse_ $b = a^{-1}$,
Any element $a$ in a group has an _inverse_ $b = a^{-1}$,
which is the _unique_ element $b$ such that $a \cdot b = 1$.
For example, the set of nonzero elements of $\mathbb{F}_p$ forms a group, where the