Tohoku Mathematical Journal
2019
December
SECOND SERIES VOL. 71, NO. 4

Tohoku Math. J.
71 (2019), 487-494

Title QUASI-GALOIS POINTS, I: AUTOMORPHISM GROUPS OF PLANE CURVES

Author Satoru Fukasawa, Kei Miura and Takeshi Takahashi

(Received May 11, 2017, revised August 28, 2017)
Abstract. We investigate the automorphism group of a plane curve, introducing the notion of a quasi-Galois point. We show that the automorphism group of several curves, for example, Klein quartic, Wiman sextic and Fermat curves, is generated by the groups associated with quasi-Galois points.

Mathematics Subject Classification. Primary 14H37; Secondary 14H50.
Key words and phrases. automorphism group, plane curve, projection, Galois point, quasi-Galois point.

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