On Invariants for ω 1 -Separable Groups
Copyright policy )On Invariants for ω 1 -Separable Groups
We study the classification of omega_1-separable groups using Ehrenfeucht-Fraisse games and prove a strong classification result assuming PFA, and a strong non-structure theorem assuming diamond.
Proper Forcing Axiom, Mathematics - Logic, Mathematics - Rings and Algebras, Torsion-free groups, infinite rank, Ehrenfeucht-Fraïssé games, Set-theoretic model theory, Other infinitary logic, diamond, Rings and Algebras (math.RA), classification of \(\omega_ 1\)-separable groups, FOS: Mathematics, Consistency and independence results, Logic (math.LO), non-structure theorem
Proper Forcing Axiom, Mathematics - Logic, Mathematics - Rings and Algebras, Torsion-free groups, infinite rank, Ehrenfeucht-Fraïssé games, Set-theoretic model theory, Other infinitary logic, diamond, Rings and Algebras (math.RA), classification of \(\omega_ 1\)-separable groups, FOS: Mathematics, Consistency and independence results, Logic (math.LO), non-structure theorem
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