The Fibonacci automorphism of free Burnside groups
Faculty of Mathematics and Mechanics, Yerevan State University, A. Manoogian st. 1, Yerevan-0025, Armenia. email@example.com
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
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