On irreducible sextics with non-abelian fundamental group

We calculate the fundamental groups $π=π_1(P^2\setminus B)$ for all irreducible plane sextics $B\subset¶^2$ with simple singularities for which $π$ is known to admit a dihedral quotient $D_{10}$. All groups found are shown to be finite, two of them being of large order: 960 and 21600.

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