Bertapelle, AlessandraAlessandraBertapelleMazzari, NicolaNicolaMazzariSaha, ArnabArnabSaha2025-08-312025-08-312023-10-0110.1007/s10231-023-01321-22-s2.0-85150604343https://d8.irins.org/handle/IITG2025/26615We study the nth arithmetic jet space of the p-torsion subgroup attached to a smooth commutative formal group scheme. We show that the nth jet space above fits in the middle of a canonical short exact sequence between a power of the formal scheme of Witt vectors of length n and the p-torsion subgroup we started with. This result generalizes a result of Buium on roots of unity.trueArithmetic jet spaces | Group schemes | Witt vectors | π-derivationArticlehttps://link.springer.com/content/pdf/10.1007/s10231-023-01321-2.pdf161818912313-2332October 20230arJournal0WOS:000958345500001