Difference between revisions of "Fibonacci group"

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<math>\{ x_1, x_2, \ldots, x_m | x_ix_{i+1} = x_{i+2}\}</math>
 
<math>\{ x_1, x_2, \ldots, x_m | x_ix_{i+1} = x_{i+2}\}</math>
  
where the indices are reduced modulo <math>m</math>.
+
where the indexes are reduced modulo <math>m</math>.
  
 
==External links==
 
==External links==
  
 
* {{sor|F/f130070}}
 
* {{sor|F/f130070}}

Revision as of 01:17, 3 September 2009

Definition

The Fibonacci group F(2,m) is defined as the group with the following presentation:

\{ x_1, x_2, \ldots, x_m | x_ix_{i+1} = x_{i+2}\}

where the indexes are reduced modulo m.

External links