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# Avoiding Patterns in the Abelian Sense

Published:2001-08-01
Printed: Aug 2001
• J. Currie
• V. Linek
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## Abstract

We classify all 3 letter patterns that are avoidable in the abelian sense. A short list of four letter patterns for which abelian avoidance is undecided is given. Using a generalization of Zimin words we deduce some properties of $\o$-words avoiding these patterns.
 MSC Classifications: 05 - unknown classification 0568 - unknown classification 68