Almost Locally Free Groups and a Theorem of Magnus: Some Questions

DOI10.1515/GCC.2009.181zbMath1196.20036OpenAlexW2086064810MaRDI QIDQ5189800

Anthony M. Gaglione, Dennis Spellman, Seymour Lipschutz

Publication date: 11 March 2010

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gcc.2009.181

zbMATH Keywords

normal closuresfully residually free groupselementarily free groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) General structure theorems for groups (20E34) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26)

Related Items (3)

Magnus pairs in, and free conjugacy separability of, limit groups ⋮ Orderable groups, elementary theory, and the Kaplansky conjecture ⋮ On Turner’s theorem and first-order theory

Cites Work

• On generalised free products
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• A classification of fully residually free groups of rank three or less
• Lyndon's Group is Conjugately Residually Free
• Almost locally free groups and the genus question
• Tarski’s problem about the elementary theory of free groups has a positive solution

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