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On nilpotent automorphism groups of function fields
- Publication Year :
- 2019
-
Abstract
- We study the automorphisms of a function field of genus $g\geq 2$ over an algebraically closed field of characteristic $p>0$. More precisely, we show that the order of a nilpotent subgroup $G$ of its automorphism group is bounded by $16 (g-1)$ when G is not a $p$-group. We show that if $|G|=16(g-1) $, then $g-1$ is a power of $2$. Furthermore, we provide an infinite family of function fields attaining the bound.<br />Comment: 14 pages
- Subjects :
- Mathematics - Algebraic Geometry
14H05, 14H37
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1912.08146
- Document Type :
- Working Paper