Finite Hurwitz braid group actions for Artin groups |
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| Authors: | Stephen P. Humphries |
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| Affiliation: | (1) Department of Mathematics, Brigham Young University, 292 Talmage Math/Computer Building, 84602-6539 Provo, UT, USA |
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| Abstract: | We prove that (with two possible exceptions) the Hurwitz braid group action on the sequence of standard generators of an irreducible Artin group has a finite orbit if and only if the Artin group is of finite type (i.e., the corresponding Coxeter group is finite). |
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