Homogeneous Cayley Objects

Peter J. Cameron*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

We examine a number of countable homogeneous relational structures with the aim of determining which countable groups can act regularly on them. Since a group X acts regularly on a graph G if and only if G is a Cayley graph for X, we will extend the terminology and say that M is a Cayley object for X if X acts regularly on M. We consider, among other things, graphs, hypergraphs, metric spaces and total orders.

Original languageEnglish
Pages (from-to)745-760
Number of pages16
JournalEuropean Journal of Combinatorics
Volume21
Issue number6
DOIs
Publication statusPublished - 1 Jan 2000

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