### A purity theorem for linear algebraic groups, by Ivan Panin

Given a characteristic zero field and a dominant morphism of linear
algebraic groups with a commutative target one can form a functor from
commutative algebras to abelian groups. The functor takes an algebra
to the group of points of the target group modulo the group of points
of the sourse. It is proved that this functor satisfies a purity
theorem for any regular local algebra. Few examples are considered in
the very end of the preprint.

Ivan Panin <panin@pdmi.ras.ru>