  We study infinite groups interpretable in $V$-minimal, power bounded
$T$-convex or certain expansions of $p$-adically closed fields. We show that
every such group $G$ has unbounded exponent and if $G$ is dp-minimal then it is
abelian-by-finite.
  Along the way, we associate with any infinite interpretable group an infinite
type-definable subgroup which is definably isomorphic to a group in one of four
distinguished sorts: the underlying valued field $K$, its residue field
$\textbf{k}$ (when infinite), its value group $\Gamma$, or $K/\mathcal{O}$,
where $\mathcal{O}$ is the valuation ring.
  Our work uses and extends techniques developed in [8] to circumvent
elimination of imaginaries.

Logic;Group Theory