On Turner’s theorem and first-order theory
DOI10.1080/00927872.2016.1147569zbMath1392.20025OpenAlexW2530415549MaRDI QIDQ2978245
Dennis Spellman, Anthony M. Gaglione, Benjamin Fine, Seymour Lipschutz
Publication date: 21 April 2017
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2016.1147569
first-order theorytest elementsTarski problemsTurner groupelementary free groupscurious groupvacuous Turner group
Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26) Basic properties of first-order languages and structures (03C07)
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