Universal Upper Bound for the Growth of Artin Monoids

Details Universal Upper Bound for the Growth of Artin Monoids Universal Upper Bound for the Growth of Artin Monoids

2008-05-17

arxiv.org/abs/0805.2656v1

Mathematics

Group Theory

15 pages, 13 figures

Scientific paper

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.

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