How can one calculate the order of a multiplicative group of a finite field such as:
$(\mathbb{F}(2^3) \backslash \{0\}, \times)$
Is it as simple as doing $2^3-1$ ?
2026-04-02 06:19:27.1775110767
Calculate order of multiplicative group of finite field
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Yes. The order of a group is how many elements the group has. Since the multiplicative group of a field is every element except 0 the order of the group is exactly one less than the amount of elements in the field.