The infinite Fibonacci groups and relative asphericity

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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...

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

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