n-Selmer group (source code)

= n-Selmer group
{c}
{title2=$\operatorname{Sel}^{(n)}(E/K)$}

The $n$-Selmer group consists of the classes in $H^1(K,E[n])$ whose restriction at every place lies in the image of the local <Kummer map of an elliptic curve>. It is finite and contains $E(K)/nE(K)$.