Infinite-ended groups with planar Cayley graphs

DOI10.1515/JGT.2006.032zbMath1099.20017OpenAlexW2027884001MaRDI QIDQ5480608

Carl Droms

Publication date: 3 August 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.032

zbMATH Keywords

finitely generated groupsfinitely presented groupsgraphs of groupsends of groupsCayley complexesplanar Cayley graphs

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

The planar cubic Cayley graphs of connectivity 2 ⋮ On planar right groups ⋮ On planar Cayley graphs and Kleinian groups ⋮ The planar Cayley graphs are effectively enumerable. II ⋮ Characterising planar Cayley graphs and Cayley complexes in terms of group presentations ⋮ The Planar Cubic Cayley Graphs ⋮ Planar transitive graphs ⋮ Planarity of Cayley graphs of graph products of groups ⋮ Unnamed Item ⋮ Tree amalgamation of graphs and tessellations of the Cantor sphere ⋮ Accessibility in transitive graphs ⋮ Metric dimensions of minor excluded graphs and minor exclusion in groups

Cites Work

• On accessibility of groups
• The accessibility of finitely presented groups
• Special embeddings of Cayley diagrams
• Cutting up graphs
• On non-Euclidean crystallographic groups
• On torsion-free groups with infinitely many ends
• Accessibility and Groups of Cohomological Dimension One
• Some applications of graph contractions
• The Cayley Graphs of Coxeter and Artin Groups
• A Set of Topological Invariants for Graphs