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changed the statement 2010-05-28 25e9b07
Group schemes in characteristic zero are reduced

	David Rydh noticed this question in the stacks project and
	emailed me the reference to David Perrin's work.

	TODO: I now realize that we need to add the material on the
	connected component of the identity of a group scheme over a field.
assigned tag 047O 2010-02-20 677b58a
Tags: Added new tags
changed the statement 2010-02-15 4c28295
Groupoids: More properties of group schemes over fields

	Smoothness in characteristic zero (finite type case)
	Smoothness if reduced over perfect field
	Open subgroups are closed
	Locally closed subgroups are closed
	Existence of open and closed subgroup scheme which is a
		countable union of affine opens
created statement with label remark-when-reduced in groupoids.tex 2010-02-15 e51788a
Groupoids: Cartier's theorem

	Any group scheme of finite type over a characteristic zero field
	is reduced. We also added some general lemmas on group schemes.