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Wreath Products of Permutation Classes

Robert Brignall

math.COarXiv:math/0609788

Abstract

A permutation class which is closed under pattern involvement may be described in terms of its basis. The wreath product construction X 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 Y is also finitely based.

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