• Corpus ID: 6916229

p-divisible groups

  title={p-divisible groups},
  author={Tony Feng and Alexander Bertoloni Meli},
Let E be an elliptic curve over a eld k; imagine for the moment that k is of characteristic 0, although we will also be very interested in the characteristic p case. The p-divisible group of E is easy enough to describe: it is the direct limit of the p-power torsion subgroups of E. (For now, let's brush aside technical issues such as in what category this direct limit takes place.) E[p] ↪→ E[p] ↪→ E[p] ↪→ . . . Since we know that E[p](k) ∼= Z/p ⊕ Z/p, we see that 
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