The minimal ramification problem for rational function fields over finite fields
International Mathematics Research Notices, 2023•academic.oup.com
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.
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.
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.
Oxford University Press以上显示的是最相近的搜索结果。 查看全部搜索结果