Wreath products of permutation classes

Brignall, Robert (2007). Wreath products of permutation classes. Electronic Journal of Combinatorics, 14(1) Research Paper 46, 15 pp. (electronic).

URL: http://www.combinatorics.org/Volume_14/Abstracts/v...


A permutation class which is closed under pattern involvement may be described in terms of its basis. The wreath product construction X \wr Y of two permutation classes X and Y is also closed, and we investigate classes Y with the property that, for any finitely based class X, the wreath product X \wr Y is also finitely based.

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