Subgroup theorem for valuated groups and the CSA property

Details Subgroup theorem for valuated groups and the CSA property Subgroup theorem for valuated groups and the CSA property

2008-04-17

arxiv.org/abs/0804.2709v1

Mathematics

Group Theory

Scientific paper

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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