Wreath Products of Permutation Classes

Details Wreath Products of Permutation Classes Wreath Products of Permutation Classes

2006-09-28

arxiv.org/abs/math/0609788v1

Mathematics

Combinatorics

14 pages

Scientific paper

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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