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arXiv · 0805.2656

Universal Upper Bound for the Growth of Artin Monoids

Barbu Berceanu·Zaffar Iqbal
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Abstract

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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Barbu Berceanu, Zaffar Iqbal. 2008-05-17. Universal Upper Bound for the Growth of Artin Monoids. https://arxiv.org/abs/0805.2656

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