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arXiv · 1202.5221

Some remarks on cyclic Galois coverings of the projective line over finite fields

Alberto Besana·Cristina Martinez Ramirez
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Abstract

We study cyclic finite Galois extensions of the rational function field of the projective line P^{1}(F_q) over a finite field F_q with q elements defined by considering quotient curves by finite subgroups of the projective linear group PGL(2,q), and we enumerate them expressing the count in terms of Stirling numbers.

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Alberto Besana, Cristina Martinez Ramirez. 2012-02-23. Some remarks on cyclic Galois coverings of the projective line over finite fields. https://arxiv.org/abs/1202.5221

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