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 .
Read more about Multiplicative Group: Group Scheme of Roots of Unity
Famous quotes containing the word group:
“We begin with friendships, and all our youth is a reconnoitering and recruiting of the holy fraternity they shall combine for the salvation of men. But so the remoter stars seem a nebula of united light, yet there is no group which a telescope will not resolve; and the dearest friends are separated by impassable gulfs.”
—Ralph Waldo Emerson (1803–1882)