Some Power of an Element in a Garside Group Is Conjugate to a Periodically Geodesic Element Eon Kyung Lee and Sang
نویسنده
چکیده
We show that for each element g of a Garside group, there exists a positive integer m such that gm is conjugate to a periodically geodesic element h, an element with |hn|D = |n| · |h|D for all integers n, where |g|D denotes the shortest word length of g with respect to the set D of simple elements. We also show that there is a finite-time algorithm that computes, given an element of a Garside group, its stable super summit set.
منابع مشابه
Some Power of an Element in a Garside Group Is Conjugate to a Periodically Geodesic Element
We show that for each element g of a Garside group, there exists a positive integer m such that gm is conjugate to a periodically geodesic element h, an element with |hn|D = |n|·|h|D for all integers n, where |g|D denotes the shortest word length of g with respect to the set D of simple elements. We also show that there is a finite-time algorithm that computes, given an element of a Garside gro...
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تاریخ انتشار 2006