Groups Elementarily Equivalent to a Free 2-nilpotent Group of Finite Rank

2009/03/13 by Alexei Myasnikov, Myasnikov, Alexei G., Mahmood Sohrabi +1
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.0903.2406

openalex publication_date 2009/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we find a characterization for groups elementarily equivalent to a free nilpotent group G of class 2 and arbitrary finite rank.

Citations

• Elementary properties of Abelian groups
• Diophantine Problems Over Local Fields I

Related

• Groups elementarily equivalent to a free nilpotent group of finite rank
• A Classification of Free and Free-Like Nilpotent Groups
• Free two-step nilpotent groups whose automorphism group is complete
• On the geometry of free nilpotent groups
• A nilpotency criterion for finite groups