A group functor is a group object in a functor category.

Terminology

The terminology of group-functors is mainly used in the theory of algebraic groups in algebraic geometry. If $G$ is a group functor the multiplication morphism $\pi:G\times G\to G$ is called group law on$G$. An example of special interest in this context is that of a group scheme.

References

Michel Demazure, lectures on p-divisible groups web

Created on May 22, 2012 at 15:13:10.
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