Computing the Automorphism Groups of Hyperelliptic Function Fields

Mathematics – Number Theory

Scientific paper

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16 pages, to be presented at MEGA 2003 (see http://www.mathematik.uni-kl.de/~mega2003)

Scientific paper

The purpose of this paper is to propose an efficient method to compute the
automorphism group of an arbitrary hyperelliptic function field (genus>1) over
a given ground field of characteristic >2 as well as over its algebraic
extensions.

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