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math.GR2013
Relative Garside elements of Artin monoids
Usman Ali, Barbu Berceanu, Zaffar Iqbal
We introduce a relative Garside element, the quotient of the corresponding Garside elements G1 and G2, for a pair of Artin monoids associated to Coxeter graphs Gamma1 and Gamma2, t…
math.GR2008
Universal Upper Bound for the Growth of Artin Monoids
Barbu Berceanu, Zaffar Iqbal
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 Ar…