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The Fibonacci length of certain centro-polyhedral groups

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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 threegenerator groups with constant, linear and (3-step) Wall number dependent Fibonacci lengths.

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Authors and Affiliations

  1. Mathematical Institute, University of St Andrews, North Haugh, KY16 9SS, St Andrews, UK

    C. M. Campbell & P. P. Campbell

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  1. C. M. Campbell
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  2. P. P. Campbell
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Correspondence to C. M. Campbell.

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Colin Campbell received an MA from the University of Edinburgh, an MSc from McGill University, Montreal and a PhD from the University of St Andrews. He is currently a Senior Lecturer in Pure Mathematics at the University of St Andrews. His research interests are in computational group and semigroup theory.

Peter Campbell received his BSc and PhD from the University of St Andrews. His research interests are in discrete mathematics and computational group theory.

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Campbell, C.M., Campbell, P.P. The Fibonacci length of certain centro-polyhedral groups. JAMC 19, 231–240 (2005). https://doi.org/10.1007/BF02935801

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  • DOI: https://doi.org/10.1007/BF02935801

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