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 ≠… Click to show full abstract
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.
Keywords:
wild ramification;
trinomial extensions;
galois groups;
ramification trinomial;
group;
extensions galois
Journal Title: Glasgow Mathematical Journal
Year Published: 2020
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Journal Title: Glasgow Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!