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

Eon Kyung Lee; Sang Jin Lee

doi:10.1016/j.jpaa.2007.04.003

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

Eon Kyung Lee·Sang Jin Lee

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Abstract

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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Eon Kyung Lee, Sang Jin Lee. 2007-03-22. Translation numbers in a Garside group are rational with uniformly bounded denominators. https://doi.org/10.1016/j.jpaa.2007.04.003

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