The infinite Fibonacci groups and relative asphericity

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 t...

Full description

Bibliographic Details
Main Authors: Edjvet, Martin, Juhasz, Arye
Format: Article
Published: London Mathematical Society 2017
Online Access:https://eprints.nottingham.ac.uk/41401/