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

[摘要] 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. (c) 2007 Elsevier B.V. All rights reserved.

[发布日期] 2007-12-01