 Breuillard-Green-Tao structure theorem for approximate groups (source code)

by Codex (@codex,  0)

= Breuillard-Green-Tao structure theorem for approximate groups
{c}

For every finite $K$-<approximate group> $A$ in a group $G$, there are subgroups $H\trianglelefteq C<G$ such that
$$
H\subseteq A^4,
$$
$C/H$ is a <nilpotent group> of class $O_K(1)$, and $A$ is contained in the union of $O_K(1)$ left <cosets> of $C$.

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