One dimensional groups definable in the p-adic numbers

Abstract

A complete list of one dimensional groups definable in the p-adic numbers is given, up to a finite index subroup and a quotient by a finite subgroup.

Cited by in corpus (2)

• Dp-minimal expansions of $(\mathbb{Z},+)$ via dense pairs via Mordell-Lang
• One dimensional commutative groups definable in algebraically closed valued fields and in the pseudo-local fields