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Preprint Number 119

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119. A. Ould Houcine
On finitely generated models of theories whith at most countably many nonisomorphic finitely generated models

Submission date: 4 May 2008


A   valuated group with normal forms is a group  with an integer-valued length function satisfying some Lyndon's axioms  and an additional axiom considered by Hurley. We prove a  subgroup theorem for valuated groups with normal forms analogous to   Grushko-Neumann's theorem. We study also the CSA property in such groups.

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