Fibonacci length of automorphism groups involving Tribonacci numbers
type: Item
instance of: scholarly article
title: Fibonacci length of automorphism groups involving Tribonacci numbers
zbMATH Open document ID: 0986.20034
published in: Vietnam Journal of Mathematics
publication date: 2002-05-28T00:00:00Z
review text: For a finite group \(G=\langle a,b\rangle\) with two generators the Fibonacci length is the least integer \(n\) such that for the sequence \(x_1=a\), \(x_2=b\), \(x_{i+2}=x_ix_{i+1}\) (\(i\geq 1\)) of elements of \(G\), \(x_{n+1}=x_1\) and \(x_{n+2}=x_2\). In the paper under review the above notion is generalized for a finite group with 3 generators and then the authors calculate the Fibonacci length of the groups \(\Aut(D_{2n})\) and \(\Aut(Q_{2^n})\).
reviewed by: M. R. Darafsheh
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 20D45
zbMATH DE Number: 1556828
zbMATH Keywords: automorphism groups
zbMATH Keywords: finite groups
zbMATH Keywords: generators
zbMATH Keywords: Fibonacci lengths
author: Hossein Doostie
author: C. M. Campbell
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1556828