We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .
@article{ITA_2011__45_3_301_0,
author = {Pahlevanyan, Ashot S.},
title = {The Fibonacci automorphism of free Burnside groups},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
volume = {45},
year = {2011},
pages = {301-309},
doi = {10.1051/ita/2011118},
mrnumber = {2836491},
zbl = {1227.20038},
language = {en},
url = {http://dml.mathdoc.fr/item/ITA_2011__45_3_301_0}
}
Pahlevanyan, Ashot S. The Fibonacci automorphism of free Burnside groups. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 45 (2011) pp. 301-309. doi : 10.1051/ita/2011118. http://gdmltest.u-ga.fr/item/ITA_2011__45_3_301_0/
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