THE FIBONACCI LENGTH OF CERTAIN CENTRO-POLYHEDRAL GROUPS

  • CAMPBELL C. M. (Mathematical Institute, University of St Andrews, North Haugh) ;
  • CAMPBELL P. P. (Mathematical Institute, University of St Andrews, North Haugh)
  • Published : 2005.09.01

Abstract

We examine the Fibonacci length of certain centro-polyhedral groups and show that in some cases the lengths depend on tribonacci sequences. Further we obtain specific examples of infinite families of three-generator groups with constant, linear and (3-step) Wall number dependent Fibonacci lengths.

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