Retrieving "Multiplicative Group" from the archives
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Field (mathematics)
Linked via "multiplicative group"
Properties of $\text{GF}(q)$
The multiplicative group\ of any finite field $\text{GF}(q)$ is cyclic\, meaning it is generated by a single element. The order of this multiplicative group is $q-1$.
| Field Order ($q$) | Prime Power ($p^k$) | Field Notation | Characteristic | Multiplicative Group Order |