Universal Upper Bound for the Growth of Artin Monoids |
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| Authors: | Barbu Berceanu |
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| Institution: | Simion Stoilow Institute of Mathematics, Bucharest, Romania and Abdus Salam School of Mathematical Sciences , GC University , Lahore , Pakistan |
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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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| Keywords: | Artin groups Coxeter graphs Growth rate Recurrence relations Right-angled Artin monoids |
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