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  • Permutation groups arising ...
    Permutation groups arising from pattern involvement
    Lehtonen, Erkko

    Journal of algebraic combinatorics, 11/2020, Letnik: 52, Številka: 3
    Journal Article

    For an arbitrary finite permutation group G , subgroup of the symmetric group S ℓ , we determine the permutations involving only members of G as ℓ -patterns, i.e. avoiding all patterns in the set S ℓ \ G . The set of all n -permutations with this property constitutes again a permutation group. We consequently refine and strengthen the classification of sets of permutations closed under pattern involvement and composition that is due to Atkinson and Beals.

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