%0 Journal Article
%T Universal Upper Bound for the Growth of Artin Monoids
%A Barbu Berceanu
%A Zaffar Iqbal
%J Mathematics
%D 2008
%I arXiv
%X In this paper we study the growth rates of Artin monoids and we show that 4 is a universal upper bound. We also show that the generating functions of the associated right-angled Artin monoids are given by families of Chebyshev polynomials. Applications to Artin groups and positive braids are given.
%U http://arxiv.org/abs/0805.2656v1