Garside Groups Are Strongly Translation Discrete

@inproceedings{Lee2008GarsideGA,
  title={Garside Groups Are Strongly Translation Discrete},
  author={Sang Jin Lee},
  year={2008}
}
In this paper we show that all Garside groups are strongly translation discrete, that is, the translation numbers of non-torsion elements are strictly positive and for any real number r there are only finitely many conjugacy classes of elements whose translation numbers are less than or equal to r. It is a consequence of the inequality “infs(g) 6 infs(g n) n < infs(g) + 1” for a positive integer n and an element g of a Garside group G, where infs denotes the maximal infimum for the conjugacy… CONTINUE READING

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