On a pattern avoidance condition for the wreath product of cyclic groups with symmetric groups

Details On a pattern avoidance condition for the wreath product of cyclic groups with symmetric groups On a pattern avoidance condition for the wreath product of cyclic groups with symmetric groups

2009-10-16

arxiv.org/abs/0910.3135v1

Mathematics

Combinatorics

Scientific paper

In this paper, we extend to a non-consecutive case, the study of the pattern matching condition on the wreath product of the cyclic group and the symmetric group initiated by the authors in a previous paper. The main focus of our paper is (colored) patterns of length 2, although a number of enumerative results for longer patterns are also presented. A new non-trivial bijective interpretation for the Catalan numbers is found, in terms of simultaneously bi-avoiding two patterns in a wreath product.

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