The infinite Fibonacci groups and relative asphericity

Edjvet, Martin and Juhasz, A. (2017) The infinite Fibonacci groups and relative asphericity. Transactions of the London Mathematical Society . ISSN 2052-4986 (In Press)

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Abstract

We prove that the generalised Fibonacci group F(r, n) is infinite for (r, n) ∈ {(7+5k, 5), (8 +5k, 5) : k ≥ 0}. This together with previously known results yields a complete classification of the finite F(r, n), a problem that has its origins in a question by J H Conway in 1965. The method is to show that a related relative presentation is aspherical from which it can be deduced that the groups are infinite.

Item Type: Article
Keywords: Fibonacci groups; relative asphericity
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Eprints, Support
Date Deposited: 15 Aug 2017 13:46
Last Modified: 18 Oct 2017 17:56
URI: http://eprints.nottingham.ac.uk/id/eprint/44910

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