Elementary group equivalence with the integral length function

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zbMath0591.20039MaRDI QIDQ1074717

Vladimir N. Remeslennikov, Alexei G. Myasnikov

Publication date: 1986

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

free products length function polycyclic groups elementary equivalence Chernikov groups formula definable free groups with operators free operator groups multi-base models rational coordinatization regular definability torsion- free solvable groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (2)

Categoricity of finitely generated algebraic systems in HF-logic ⋮ Admissible sets in group theory

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