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The Fibonacci automorphismof free Burnside groups

Published online by Cambridge University Press:  26 August 2011

Ashot S. Pahlevanyan*
Affiliation:
Faculty of Mathematics and Mechanics, Yerevan State University, A. Manoogian st. 1, Yerevan-0025, Armenia. apahlevanyan@ysu.am

Abstract

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

Information

Type
Research Article
Copyright
© EDP Sciences, 2011