Isomorphisms between pattern classes

M. H. Albert, M. D. Atkinson, Anders Claesson

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Isomorphisms φ : A −→ B between pattern classes are considered. It is shown that, if φ is not a symmetry of the entire set of permutations, then, to within symmetry, A is a subset of one a small set of pattern classes whose structure, including their enumeration, is determined.
Original languageEnglish
Pages (from-to)3-17
Number of pages15
JournalJournal of Combinatorics
Issue number1-2
Publication statusAccepted/In press - 15 Aug 2014


  • isomorphisms
  • pattern classes


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