Translation numbers in a Garside group are rational with uniformly bounded denominators

Details Translation numbers in a Garside group are rational with uniformly bounded denominators Translation numbers in a Garside group are rational with uniformly bounded denominators

2006-04-04

arxiv.org/abs/math/0604061v2

Journal of Pure and Applied Algebra, vol. 211, no. 3, pp. 732-743, 2007

Mathematics

Geometric Topology

12 pages, to appear in J. Pure Appl. Algebra

Scientific paper

10.1016/j.jpaa.2007.04.003

It is known that Garside groups are strongly translation discrete. In this
paper, we show that the translation numbers in a Garside group are rational
with uniformly bounded denominators and can be computed in finite time. As an
application, we give solutions to some group-theoretic problems.

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