Multiplicative group

Algebraic structure → Group theory Group theory
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In mathematics and group theory, the term multiplicative group refers to one of the following concepts:

• the group under multiplication of the invertible elements of a field,^[1] ring, or other structure for which one of its operations is referred to as multiplication. In the case of a field F, the group is (F ∖ {0}, •), where 0 refers to the zero element of F and the binary operation • is the field multiplication,
• the algebraic torus GL(1).^{[clarification needed]}.