On the braid monodromy group of a polynomial in one variable

Abstract

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

7 pages, Fig. 2 is corrected