On projective plane curves whose complements have finite non-abelian fundamental groups
نویسنده
چکیده
The topological fundamental group π1(P \C0) is isomorphic to the binary 3-dihedral group D̃3 := 〈 α, β | α = β = (αβ) 〉 of order 12 (cf. [11] [4; Chapter 4, §4]). In [1], Abhyankar studied the complement of the three cuspidal quartic over an algebraically closed field k of arbitrary characteristics. He showed that, if char k 6= 2, 3, then the tame fundamental group of the complement is isomorphic to D̃3.
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