Multiplicative Group

In mathematics and group theory the term multiplicative group refers to one of the following concepts, depending on the context

• any group whose binary operation is written in multiplicative notation (instead of being written in additive notation as usual for abelian groups),
• the underlying group under multiplication of the invertible elements of a field, ring, or other structure having multiplication as one of its operations. In the case of a field F, the group is {F - {0}, •}, where 0 refers to the zero element of the F and the binary operation • is the field multiplication,
• the algebraic torus .