Universal Upper Bound for the Growth of Artin Monoids

Barbu Berceanu; Zaffar Iqbal

Universal Upper Bound for the Growth of Artin Monoids

Group Theory 2008-05-20 v1 Geometric Topology

Authors: Barbu Berceanu , Zaffar Iqbal

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.

Keywords

artin monoids growth rates universal upper bound generating functions chebyshev polynomials artin groups positive braids

Cite

@article{arxiv.0805.2656,
  title  = {Universal Upper Bound for the Growth of Artin Monoids},
  author = {Barbu Berceanu and Zaffar Iqbal},
  journal= {arXiv preprint arXiv:0805.2656},
  year   = {2008}
}

Comments

15 pages, 13 figures

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