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Fibonacci length of automorphism groups involving Tribonacci numbers

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Publication:1593689
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zbMath0986.20034MaRDI QIDQ1593689

Hossein Doostie, Colin M. Campbell

Publication date: 28 May 2002

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

finite groupsgeneratorsautomorphism groupsFibonacci lengths


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Automorphisms of abstract finite groups (20D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


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A subgroup involvement of the Fibonacci length. ⋮ Fibonacci lengths of certain nilpotent 2-groups. ⋮ The adjacency-Jacobsthal-Hurwitz sequences in groups ⋮ On the periods of 2-step general Fibonacci sequences in the generalized quaternion groups. ⋮ The Hadamard-type k-step Fibonacci sequences in groups ⋮ Fibonacci lengths of all finite \(p\)-groups of exponent \(p^2\). ⋮ Unnamed Item ⋮ On the basic \(k\)-nacci sequences in finite groups ⋮ Unnamed Item ⋮ \(k\)-nacci sequences in finite triangle groups. ⋮ Classes of non-commutative semigroups with finite Fibonacci invariants ⋮ The Fibonacci length of certain centro-polyhedral groups.



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