nLab group functor

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


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


  • Michel Demazure, lectures on p-divisible groups web

Created on May 22, 2012 at 14:52:17. See the history of this page for a list of all contributions to it.