The Minimal Ramification Problem for Rational Function Fields over Finite Fields

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

Abstract

We study the minimal number of ramified primes in Galois extensions of rational function fields over finite fields with prescribed finite Galois group. In particular, we obtain a general conjecture in analogy with the well studied case of number fields, which we establish for abelian, symmetric, and alternating groups in many cases.

Details

OriginalspracheEnglisch
Seiten (von - bis)18199-18253
Seitenumfang55
FachzeitschriftInternational mathematics research notices
Jahrgang2023
Ausgabenummer21
PublikationsstatusVeröffentlicht - Nov. 2023
Peer-Review-StatusJa

Externe IDs

Mendeley addbd8af-5744-36e6-8427-9775115c8592
Scopus 85178060311

Schlagworte

Schlagwörter

  • Primitive permutation-groups, Alternating group coverings, Affine line, Irreducible values, Polynomials, Extensions, Conjecture, Primes, Number

Bibliotheksschlagworte