Geodesic
The Fibonacci automorphism of free Burnside groups
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) no. 3, pp. 301-309.

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We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd n≥665 and even n=16k≥8000.

DOI : 10.1051/ita/2011118
Classification : 20F28, 20E36, 20F50, 20M05
Keywords: free periodic groups, Burnside groups, group automorphisms, Fibonacci morphism, Fibonacci sequence, Fibonacci word, golden ratio 
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Pahlevanyan, Ashot S. The Fibonacci automorphism of free Burnside groups. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) no. 3, pp. 301-309. doi : 10.1051/ita/2011118. http://geodesic.mathdoc.fr/articles/10.1051/ita/2011118/

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