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WILD RAMIFICATION IN TRINOMIAL EXTENSIONS AND GALOIS GROUPS
Published online by Cambridge University Press: 12 March 2020
Abstract
It is proven that, for a wide range of integers s (2 < s < p − 2), the existence of a single wildly ramified odd prime l ≠ p leads to either the alternating group or the full symmetric group as Galois group of any irreducible trinomial Xp + aXs + b of prime degree p.
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- Research Article
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- © The Author(s) 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
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