Palindromic richness and Coxeter groups

Details Palindromic richness and Coxeter groups Palindromic richness and Coxeter groups

2011-08-15

arxiv.org/abs/1108.3042v2

Mathematics

Combinatorics

28 pages, 4 figures

Scientific paper

For a given finite group $G$ consisting of morphisms and antimorphisms of a free monoid $\mathcal{A}^*$, we study infinite words with language closed under the group $G$. We focus on words rich in generalized palindromic factors, i.e., in factors $w$ satisfying $\Theta(w) = w$ for some non-identical element $\Theta \in G$. We give several equivalent descriptions of rich words and show the role Coxeter groups play in the generalized notion of palindromic richness.

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