Take the 2-minute tour ×  I found in the literature many
references on the representability of quotients of group schemes
but almost nothing about subgroups. For this reason I hope that
my question is a silly one and that what I am asking is well
known to experts. Let $G$ be a group algebraic space over a base
which is the spectrum of a discrete valuation ring. Let
$H\subset G$ be a subgroup functor of $G$ which is also an etale
sheaf. Under which conditions is it known that $H$ is a group
algebraic space? We can assume that $G$ has a trivial
obstruction and deformation theory if it could help. We can also
assume that $H$ is the kernel of an homomorphism of group
sheaves $G\rightarrow K$ but $K$ is not necessarily represented
by an algebraic space.  share|improve this question  Your Answer
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