Joachim König

activity

20092026

most citedSeptic equations are solvable by 2-fold origami

2 citations · 4 across the 21 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022

On fake subfields of number fields

Joachim König

We investigate the failure of a local-global principle with regard to "containment of number fields"; i.e., we are interested in pairs of number fields $(K_{1}, K_{2})$ such that $K_{2}$ …

math.NT2022

Quadratic number fields with unramified $S L_{2} (5)$ -extensions

Joachim König

Continuing the line of thought of an earlier work, we provide the first infinite family of quadratic number fields with everywhere unramified Galois extensions of Galois group $SL_…

math.NT2022

Locally cyclic extensions with Galois group $G L_{2} (p)$

Sara Arias-de-Reyna, Joachim König

Using Galois representations attached to elliptic curves, we construct Galois extensions of $Q$ with group $G L_{2} (p)$ in which all decomposition groups are cyclic. This is…

On fake subfields of number fields

Quadratic number fields with unramified SL2​(5)-extensions

Locally cyclic extensions with Galois group GL2​(p)

Quadratic number fields with unramified $S L_{2} (5)$ -extensions

Locally cyclic extensions with Galois group $G L_{2} (p)$