Lehmer without Bogomolov

Abstract

We construct fields of algebraic numbers that have the Lehmer property but not the Bogomolov property. This answers a recent implicit question of Pengo and the first author.

arXiv commentThe main result of this note is now subsumed into arXiv:2107.09027

References in corpus (2)

• Small Height and Infinite Non-Abelian Extensions
• On certain infinite extensions of the rationals with Northcott property