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Periodic Fibonacci algebras
Published online by Cambridge University Press: 20 January 2009
Abstract
Fibonacci algebras are groups equipped with an extra unary operation φ that satisfies a Fibonacci-type law. We described in an earlier paper the free objects in the resulting varieties, and here we do the same in the case when φ is assumed to be periodic. They turn out to be central extensions of Burnside groups with finite kernels whose orders can be expressed in terms of the resultants of certain polynomials.
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- Copyright © Edinburgh Mathematical Society 1992