English

Wreath Products of Permutation Classes

Combinatorics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0609788,
  title  = {Wreath Products of Permutation Classes},
  author = {Robert Brignall},
  journal= {arXiv preprint arXiv:math/0609788},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T17:43:12.297Z