Subgroup theorem for valuated groups and the CSA property
Group Theory
2008-04-18 v1
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.
Cite
@article{arxiv.0804.2709,
title = {Subgroup theorem for valuated groups and the CSA property},
author = {Abderezak Ould Houcine},
journal= {arXiv preprint arXiv:0804.2709},
year = {2008}
}