Papers › Extending Dekking's construction of an infinite binary word avoiding abelian $4$-powers
Extending Dekking's construction of an infinite binary word avoiding abelian $4$-powers
James Currie, Lucas Mol, Narad Rampersad, Jeffrey Shallit
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We construct an infinite binary word with critical exponent 3 that avoids abelian 4-powers. Our method gives an algorithm to determine if certain types of morphic sequences avoid additive powers. We also show that there are Ω(1.172ⁿ) binary words of length n that avoid abelian 4-powers, which improves on previous estimates.
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