Homogeneous Cayley Objects

Peter J. Cameron

doi:10.1006/eujc.1999.0380

Homogeneous Cayley Objects

Peter J. Cameron^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	745-760
Number of pages	16
Journal	European Journal of Combinatorics
Volume	21
Issue number	6
DOIs	https://doi.org/10.1006/eujc.1999.0380
Publication status	Published - 1 Jan 2000

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AB - 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.

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JO - European Journal of Combinatorics

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Homogeneous Cayley Objects

Abstract

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