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ID 114266
Title Alternative
Automorphism group computed by Galois points, II
Author
Harui, Takeshi Kochi University of Technology
Miura, Kei Ube College
Keywords
Icosahedral group
Galois point
plane curve
automorphism group
Content Type
Journal Article
Description
Recently, the first author [3] classified finite groups obtained as automorphism groups of smooth plane curves of degree d ≥ 4 into five types. He gave an upper bound of the order of the automorphism group for each types. For one of them, the type (a-ii), that is given by max{2d(d – 2), 60d}. In this article, we shall construct typical examples of smooth plane curve C by applying the method of Galois points, whose automorphism group has order 60d. In fact, we determine the structure of the automorphism group of those curves.
Journal Title
Proceedings of the Japan Academy, Series A, Mathematical Sciences
ISSN
03862194
NCID
AA00785474
AA12258749
Publisher
The Japan Academy
Volume
94
Issue
6
Start Page
59
End Page
63
Published Date
2018-06
EDB ID
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Publisher
departments
Science and Technology