The automorphism groups of a family of maximal curves

DOI10.1016/j.jalgebra.2012.03.036zbMath1285.11094arXiv1105.3952OpenAlexW2073911879MaRDI QIDQ1931684

Beth Malmskog, Rachel J. Pries, Robert M. Guralnick

Publication date: 15 January 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3952

zbMATH Keywords

automorphismramificationmaximal curveWeil bound

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Automorphisms of curves (14H37)

Related Items (14)

On the size of the automorphism group of a plane algebraic curve ⋮ Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers ⋮ Pure gaps on curves with many rational places ⋮ Automorphisms of Harbater-Katz-Gabber curves ⋮ AG codes and AG quantum codes from the GGS curve ⋮ A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field ⋮ Further examples of maximal curves which cannot be covered by the Hermitian curve ⋮ Transcendence degree one function fields over a finite field with many automorphisms ⋮ Irreducible canonical representations in positive characteristic ⋮ Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\) ⋮ On maximal curves that are not quotients of the Hermitian curve ⋮ Locally recoverable codes with availability \(t\geq 2\) from fiber products of curves ⋮ Weierstrass semigroup and automorphism group of the curves \(\mathcal{X}_{n,r}\) ⋮ AG codes from the second generalization of the GK maximal curve

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• Algebraic curves with a large non-tame automorphism group fixing no point
• Algebraic Function Fields and Codes
• A generalization of the Giulietti–Korchmáros maximal curve
• The automorphism group of the generalized Giulietti–Korchmáros function field
• automorphism groups for p-cyclic covers of the affine line

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