KMS conjecture on finite presentability of finitely generated Lambda-free groups

Let Λ\Lambda be an ordered abelian group, and let GG be a finitely generated group acting freely on a Λ\Lambda-tree; such a group is called Λ\Lambda-free. KMS conjecture. Every finitely generated Λ\Lambda-free group is finitely presented. If true, this would imply that all finitely generated Λ\Lambda-free groups are Rn\mathbb{R}^n-free. The source presents this as an open conjecture attributed to KMS12.

Sources & referencesView supporting material

Primary source

Olga Kharlampovich and Alina Vdovina, “Beyond Serre's "Trees" in two directions: Λ–trees and products of trees”, arXiv:1710.10306 (2017).

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