The infinite Fibonacci groups and relative asphericityTools Edjvet, Martin and Juhasz, A. (2017) The infinite Fibonacci groups and relative asphericity. Transactions of the London Mathematical Society . ISSN 20524986 (In Press)
AbstractWe 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.
Actions (Archive Staff Only)
