Locally cyclic extensions with Galois group GL₂(p)

IF 0.5 3区数学 Q3 MATHEMATICS

International Journal of Number Theory Pub Date : 2023-10-13 DOI:10.1142/s1793042124500398

Sara Arias-de-Reyna, Joachim Konig

引用次数: 0

Abstract

Using Galois representations attached to elliptic curves, we construct Galois extensions of $\mathbb{Q}$ with group $GL_2(p)$ in which all decomposition groups are cyclic. This is the first such realization for all primes $p$.

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Galois群GL2(p)的局部循环扩展

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来源期刊

International Journal of Number Theory 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

4-8 weeks

期刊介绍： This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.

Locally cyclic extensions with Galois group GL2(p)

Abstract

Locally cyclic extensions with Galois group GL₂(p)