I present a complete description of one dimensional commutative groups in algebraically closed valued fields up to a finite index subgroup and quotient by a finite group of order a power of the residue characteristic. I also present a similar description in the case of ultraproducts of p-adic numbers, the pseudo-local fields. In addition I give a description of all groups definable in a regular ordered group $R$ with finite quotients $R/nR$, up to a finite index group. This generalizes previous results for rational numbers, where the proof is new, and for Presburger arithmetic.