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Fibonacci groups 𝐹(2, 𝑛) are hyperbolic for 𝑛 odd and 𝑛 ≥ 11

Fibonacci groups 𝐹(2, 𝑛) are hyperbolic for 𝑛 odd and 𝑛 ≥ 11 AbstractWe prove that the Fibonacci group F⁢(2,n){F(2,n)} for n odd and n≥11{n\geq 11} is hyperbolic.We do this by applying a curvature argument to an arbitrary van Kampen diagram of F⁢(2,n){F(2,n)} and show that it satisfies a linear isoperimetric inequality.It then follows that F⁢(2,n){F(2,n)} is hyperbolic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Group Theory de Gruyter

Fibonacci groups 𝐹(2, 𝑛) are hyperbolic for 𝑛 odd and 𝑛 ≥ 11

Chalk, Christopher P.
Journal of Group Theory , Volume 24 (2): 26 – Mar 1, 2021
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Copyright
© 2021 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1435-4446
eISSN
1435-4446
DOI
10.1515/jgth-2020-0068
Publisher site
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Abstract

AbstractWe prove that the Fibonacci group F⁢(2,n){F(2,n)} for n odd and n≥11{n\geq 11} is hyperbolic.We do this by applying a curvature argument to an arbitrary van Kampen diagram of F⁢(2,n){F(2,n)} and show that it satisfies a linear isoperimetric inequality.It then follows that F⁢(2,n){F(2,n)} is hyperbolic.

Journal

Journal of Group Theory – de Gruyter

Published: Mar 1, 2021

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