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Let $A$ be a ring and $G$ be an affine commutative FPPF group scheme over $A$. Can we embed $G$ into a smooth group scheme over $A$?

user64494
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prochet
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    I believe that this is open. Here is a similar question: https://mathoverflow.net/questions/22078/smooth-linear-algebraic-groups-over-the-dual-numbers – Ben Wieland May 17 '19 at 02:51
  • One positive result: Let $N$ be a finite flat group scheme over a noetherian scheme $S$. Locally for the Zariski topology on $S$, there exists a projective abelian scheme $A$ and an embedding of $N$ into $A$. Raynaud 1979. – anon May 19 '19 at 14:09

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