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arXiv · 1811.08231

Avoiding conjugacy classes on the 5-letter alphabet

Golnaz Badkobeh·Pascal Ochem
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Abstract

We construct an infinite word $w$ over the $5$-letter alphabet such that for every factor $f$ of $w$ of length at least two, there exists a cyclic permutation of $f$ that is not a factor of $w$. In other words, $w$ does not contain a non-trivial conjugacy class. This proves the conjecture in Gamard et al. [TCS 2018]

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Golnaz Badkobeh, Pascal Ochem. 2018-11-20. Avoiding conjugacy classes on the 5-letter alphabet. https://arxiv.org/abs/1811.08231

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