A note on ampleness in the theory of non abelian free groups

2012/05/21 by Rizos Sklinos, Sklinos, Rizos
Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.1205.4662

openalex publication_date 2012/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently Ould Houcine-Tent (see arXiv:1205.0929v2 [math.GR]) proved that the theory of non abelian free groups is n-ample for any n

Citations

• Ampleness in the free group
• Algebraic & definable closure in free groups
• Diophantine Geometry over Groups IX: Envelopes and Imaginaries

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