In mathematics, multiplicative group in group theory may mean

• any group G written in multiplicative notation (rather than additive notation for an abelian group) for its binary operation

or in particular

• the multiplicative group of a field F, namely F\{0} under multiplication, written F* or F^x.

It is also used for the algebraic torus GL₁.

See also: multiplicative group of integers modulo n, additive group.