The infinite Fibonacci groups and relative asphericity
Group Theory
2017-10-11 v1
Abstract
We prove that the generalised Fibonacci group F(r,n) is infinite for (r,n) in {(7 + 5k,5), (8 + 5k,5)} where k is greater than or equal to 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.
Keywords
Cite
@article{arxiv.1708.01194,
title = {The infinite Fibonacci groups and relative asphericity},
author = {M. Edjvet and A. Juhasz},
journal= {arXiv preprint arXiv:1708.01194},
year = {2017}
}
Comments
106 pages, 64 figures