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The Fibonacci group F ( 2 , m ) {\displaystyle F(2,m)} is defined as the group with the following presentation:
{ x 1 , x 2 , … , x m | x i x i + 1 = x i + 2 } {\displaystyle \{x_{1},x_{2},\ldots ,x_{m}|x_{i}x_{i+1}=x_{i+2}\}}
where the indices are reduced modulo m {\displaystyle m} .
