group object
analogue of the definition of a group inside an arbitrary category
Lie group
group that is also a smooth manifold with group operations that are smooth
differential algebraic group
differential algebraic variety with group structure
algebraic group
group that is an algebraic variety
topological group
group that is a topological space with continuous group action
group
algebraic set with an invertible, associative internal operation admitting a neutral element
group scheme
group object in the category of schemes