On the commutator lengths of certain classes of finitely presented groups.

DOI10.1155/IJMMS/2006/74981zbMath1123.20028MaRDI QIDQ884192

P. P. Campbell, Hossein Doostie

Publication date: 13 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53527

zbMATH Keywords

finite groupsgenerating setsFibonacci numbersLucas numberscommutator lengths

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Commutator calculus (20F12) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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The \(k\)-nacci sequences in \(Q_{2^n}\times_\varphi\mathbb Z_{2m}\) ⋮ On the Jacobsthal-Padovan \(p\)-sequences in groups

Cites Work

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• On \((2,n)\)-groups related to Fibonacci groups
• Commutators in the Special and General Linear Groups
• A class of deficiency zero soluble groups of derived length 4
• A note on the Todd-Coxeter coset enumeration algorithm
• Some Remarks on Commutators

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