A geometric study of Fibonacci groups

Abstract: Fibonacci groups are recovered as fundamental groups of certain closed hyperbolic $\scriptstyle3$-manifolds. This is achieved by constructing compact hyperbolic polyhedra in dimension $\scriptstyle3$ which are fundamental domains of torsion free lattices in $\scriptstyle {\rm SL}_2(\mathbb{C})$. Their presentation can be read off by classical methods. This presentation can easily be given standard Fibonacci form.

Full text of the article:

• Compressed Postscript file (71352 Bytes)