The infinite Fibonacci groups and relative asphericity
(2017)
Journal Article
Edjvet, M., & Juhasz, A. (2017). The infinite Fibonacci groups and relative asphericity. Transactions of the London Mathematical Society, 4(1), https://doi.org/10.1112/tlm3.12007
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... Read More about The infinite Fibonacci groups and relative asphericity.