Submission date: 4 May 2008.

Abstract:

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.

Mathematics Subject Classification: 20E06, 20E07, 20E08

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