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The Fibonacci automorphismof free Burnside groups

Published online by Cambridge University Press:  26 August 2011

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

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

Keywords

Free periodic groupsBurnside groupsgroupautomorphismsFibonacci morphismFibonacci sequenceFibonacciwordgolden ratio
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 45 , Issue 3 , July 2011 , pp. 301 - 309
Copyright
© EDP Sciences, 2011

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References

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