nLab formal multiplicative group

Definition

The formal group of the multiplicative group .

Its formal group law $f(x,y) \in R[ [x,y] ]$ is

$$f(x,y) = x + y + x y \,,$$

Examples

The formal group law of topological K-theory which is induced by its canonical complex orientation is the multiplicative formal group law. See at topological K-theory the section Complex orientation and Formal group law

Related concepts

• K-theory spectrum