Author

Denis Vogel

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Preprint Aug 2026

Mild p-Class Tower Groups of Imaginary Quadratic Fields

Let $K$ be an imaginary quadratic number field, let $p$ be an odd prime, and let $G=G_{\varnothing}(K)(p)$ be the Galois group of the maximal everywhere unramified pro-$p$ extension of $K$. To each mod-$p$ character $x$ of $G$ we associate a linear map $D_x$ from $\mathrm{Cl}(K)[p]$ to $\mathrm{Cl}(K)/p$; a formula of...

Denis Vogel · 0 citations

Preprint Aug 2026

Mild p-Class Tower Groups of Imaginary Quadratic Fields

Let $K$ be an imaginary quadratic number field, let $p$ be an odd prime ($K\neq\mathbb Q(\sqrt{-3})$ if $p=3$), and let $G$ be the Galois group of the maximal everywhere unramified pro-$p$ extension of $K$. To each mod-$p$ character $x$ of $G$ we associate a linear map $D_x$ from $\mathrm{Cl}(K)[p]$ to $\mathrm{Cl}(K)/...

Denis Vogel · 0 citations