On the braid monodromy group of a polynomial in one variable

preprint2020arXivOpen access

Abstract

It is proved that the braid monodromy group ΓP(z)Γ_{P(z)} of a polynomial P(z)∈C[z]P(z)\in\mathbb C[z], °P(z)=n°P(z)=n, is the braid group Brn\text{Br}_n if the polynomial P(z)P(z) has n−1n-1 distinct critical values.

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