2 papers
math.NT2018
The Weak Form of Malle's Conjecture and Solvable Groups
Brandon Alberts
For a fixed finite solvable group and number field , we prove an upper bound for the number of -extensions with restricted local behavior (at infinitely many places…
math.NT2017
Certain Unramified Metabelian Extensions Using Lemmermeyer Factorizations
Brandon Alberts
We study solutions to the Brauer embedding problem with restricted ramification. Suppose and are a abelian groups, is a central extension of by , and $f:\text{Ga…