Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772014 | Journal of Algebra | 2017 | 35 Pages |
Abstract
Let S be a p-subgroup of the K-automorphism group Aut(X) of an algebraic curve X of genus gâ¥2 and p-rank γ defined over an algebraically closed field K of characteristic pâ¥3. Nakajima [27] proved that if γâ¥2 then |S|â¤ppâ2(gâ1). If equality holds, X is a Nakajima extremal curve. We prove that if|S|>p2p2âpâ1(gâ1) then one of the following cases occurs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Massimo Giulietti, Gábor Korchmáros,