This https://t.co/HNcX7AbPcT has been replaced. Links: https://t.co/xdRnMQUtKN https://t.co/3w6ieUuwRR https://t.co/NWFeV6a9yx https://t.co/tlUCWVimNQ
F}/{\rm k}_0$ by a sequence of ${\mathbb Z}/p$-extensions ramified only at finite tame primes and also give explicit bounds on $[{\rm F}:{\rm k}_0]$ and the number of ramified primes of ${\rm F}/{\rm k}_0$ in terms of $\# \Gamma$. [3/3 of https://t.co/QaDZ
broader circumstances. While his theorem is in the totally complex setting, we obtain the result in any mixed signature setting for which there exists a number field ${\rm k}_0$ with class number prime to $p$. We construct ${\rm [2/3 of https://t.co/QaDZxZ
We give a streamlined and effective proof of Ozaki's theorem that any finite $p$-group $\Gamma$ is the Galois group of the $p$-Hilbert class field tower of some number field $\rm F$. Our work is inspired by Ozaki's and applies in [1/3 of https://t.co/QaDZx