String C-groups as transitive subgroups of Sn

Peter Jephson Cameron, Maria Elisa Fernandes, Dimitri Leemans, Mark Mixer

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


If Γ is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sn (other than Sn and the alternating group An), then the rank of Γ is at most n/2+1, with finitely many exceptions (which are classified). It is conjectured that only the symmetric group has to be excluded.

Original languageEnglish
Pages (from-to)468-478
JournalJournal of Algebra
Early online date9 Nov 2015
Publication statusPublished - 1 Feb 2016


  • Regular polytope
  • String C-group
  • Transitive permutation group


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