| Issue |
RAIRO-Theor. Inf. Appl.
Volume 45, Number 3, July-September 2011
|
|
|---|---|---|
| Page(s) | 301 - 309 | |
| DOI | https://doi.org/10.1051/ita/2011118 | |
| Published online | 26 August 2011 | |
The Fibonacci automorphism of free Burnside groups
Faculty of Mathematics and Mechanics, Yerevan State University, A. Manoogian st. 1, Yerevan-0025, Armenia. apahlevanyan@ysu.am
Received:
12
April
2010
Accepted:
1
March
2011
We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd 
and even 
.
Mathematics Subject Classification: 20F28 / 20E36 / 20F50 / 20M05
Key words: Free periodic groups / Burnside groups / group automorphisms / Fibonacci morphism / Fibonacci sequence / Fibonacci word / golden ratio
© EDP Sciences, 2011
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