کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4585667 | 1630553 | 2012 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The automorphism groups of a family of maximal curves
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The Hasse Weil bound restricts the number of points of a curve which are defined over a finite field; if the number of points meets this bound, the curve is called maximal. Giulietti and Korchmáros introduced a curve C3 which is maximal over Fq6 and determined its automorphism group. Garcia, Guneri, and Stichtenoth generalized this construction to a family of curves Cn, indexed by an odd integer n⩾3, such that Cn is maximal over Fq2n. In this paper, we determine the automorphism group Aut(Cn) when n>3; in contrast with the case n=3, it fixes the point at infinity on Cn. The proof requires a new structural result about automorphism groups of curves in characteristic p such that each Sylow p-subgroup has exactly one fixed point.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 361, 1 July 2012, Pages 92-106
Journal: Journal of Algebra - Volume 361, 1 July 2012, Pages 92-106