The infinite Fibonacci groups and relative asphericity

Edjvet, Martin and Juhasz, A. (2017) The infinite Fibonacci groups and relative asphericity. Technical Report. London Mathematical Society. (Unpublished)

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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: Monograph (Technical Report)
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Edjvet, Martin
Date Deposited: 23 Mar 2017 15:16
Last Modified: 24 Mar 2017 09:40
URI: http://eprints.nottingham.ac.uk/id/eprint/41401

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