Fields definable in the free group

2015/12/24 by Byron, Ayala, Sklinos, Rizos · 1 citation
#FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.1512.07922

Abstract

We prove that no infinite field is definable in the theory of the free group

Cited by

• Algebraic groups over free and hyperbolic groups

Related

• Fields interpretable in the free group
• Free groups and automorphism groups of infinite fields
• Equations in a free group. Elementary theory
• On groups definable in geometric fields with generic derivations
• The free group does not have the finite cover property