Groups with infinitely many ends are not fraction groups.

DOI10.4171/GGD/314zbMath1317.20042arXiv1303.1656MaRDI QIDQ2347654

Dawid Kielak

Publication date: 5 June 2015

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1656

zbMATH Keywords

groups of fractionsisolated orderingsgroups with infinitely many ends

Mathematics Subject Classification ID

Geometric group theory (20F65) Free semigroups, generators and relations, word problems (20M05) Ordered groups (group-theoretic aspects) (20F60)

Related Items (2)

No positive cone in a free product is regular ⋮ Ordering groups and validity in lattice-ordered groups

Cites Work

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• Left-orderings on free products of groups
• On the dynamics of (left) orderable groups.
• On torsion-free groups with infinitely many ends
• Free Lattice-Ordered Groups Represented as o-2 Transitive l-Permutation Groups

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