Geometry of generated groups with metrics induced by their Cayley color graphs

DOI10.1515/agms-2019-0002OpenAlexW2896563650MaRDI QIDQ2311341

Teerapong Suksumran

Publication date: 10 July 2019

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08762

zbMATH Keywords

Cayley graphcolor-preserving automorphismcardinal metriccolor-permuting automorphismisometry of metric space

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other groups related to topology or analysis (20F38) Distance in graphs (05C12)

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Extension of the Švarc-Milnor lemma to gyrogroups ⋮ Lipschitz isomorphism and fixed point theorem for normed groups

Cites Work

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• Geometric group theory. An introduction
• On colour-preserving automorphisms of Cayley graphs
• Normed versus topological groups: Dichotomy and duality
• A Polish Topology for the Closed Subsets of a Polish Space
• Theory and Application of Graphs