Communication
The Thue–Morse word contains circular 5/2+ power free words of every length

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Abstract

A word is circular 5/2+ power free if none of its conjugates has period less than 25 of its length. We show that the Thue–Morse word contains words of every length which are circular 5/2+ power free.

Keywords

Circular words
Words avoiding fractional powers
Thue–Morse word

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Research was supported by an NSERC operating grant.