Multiplicative group
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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].