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The tamely ramified geometric quantitative minimal ramification problem
Published online by Cambridge University Press: 09 November 2023
Abstract
We prove a large finite field version of the Boston–Markin conjecture on counting Galois extensions of the rational function field with a given Galois group and the smallest possible number of ramified primes. Our proof involves a study of structure groups of (direct products of) racks.
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- Research Article
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- © 2023 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence