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arXiv · 0804.2709

Subgroup theorem for valuated groups and the CSA property

Abderezak Ould Houcine
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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.

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Abderezak Ould Houcine. 2008-04-17. Subgroup theorem for valuated groups and the CSA property. https://arxiv.org/abs/0804.2709

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