The random graph has the strong small index property

Peter J. Cameron*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Hodges et al. showed that the countable random graph has the small index property. The stronger result of the title is deduced from this and a general theorem about permutation groups. A consequence is that the automorphism group of the random graph is not isomorphic to the automorphism group of any other countable homogeneous graph or digraph.

Original languageEnglish
Pages (from-to)41-43
Number of pages3
JournalDiscrete Mathematics
Issue number1-3
Publication statusPublished - 6 Mar 2005


  • Automorphism group
  • Random graph
  • Small index property


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