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Galois points for double-Frobenius nonclassical curves. (English) Zbl 1439.14105

Summary: We determine the distribution of Galois points for plane curves over a finite field of \(q\) elements, which are Frobenius nonclassical for different powers of \(q\). This family is an important class of plane curves with many remarkable properties. It contains the Dickson-Guralnick-Zieve curve, which has been recently studied by Giulietti, Korchmáros, and Timpanella from several points of view. A problem posed by the second author in the theory of Galois points is modified.

MSC:

14H50 Plane and space curves
11G20 Curves over finite and local fields
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References:

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