The Fibonacci automorphism of free Burnside groups

Pahlevanyan, Ashot S.

doi:10.1051/ita/2011118

Pahlevanyan, Ashot S.

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) no. 3, pp. 301-309.

Résumé

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

MR Zbl

DOI : 10.1051/ita/2011118

Classification : 20F28, 20E36, 20F50, 20M05
Mots clés : free periodic groups, Burnside groups, group automorphisms, Fibonacci morphism, Fibonacci sequence, Fibonacci word, golden ratio

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     author = {Pahlevanyan, Ashot S.},
     title = {The {Fibonacci} automorphism of free {Burnside} groups},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {301--309},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {3},
     year = {2011},
     doi = {10.1051/ita/2011118},
     mrnumber = {2836491},
     zbl = {1227.20038},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/ita/2011118/}
}

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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://archive.numdam.org/articles/10.1051/ita/2011118/

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