Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Journal of Algebra;
MAY 15 2019.
Web of Science Citations:
Let X be a (projective, non-singular, irreducible) curve of even genus g(X) >= 2 defined over an algebraically closed field K of characteristic p. If the p-rank gamma(X) equals g(X), then X is ordinary. In this paper, we deal with large automorphism groups G of ordinary curves. Under the hypotheses that p = 2, g(X) is even and G is solvable, we prove that vertical bar G vertical bar < 35(g(X)+1)(3/2). (C) 2019 Elsevier Inc. All rights reserved. (AU)