p-Tower Groups over Quadratic Imaginary Number Fields

zbMath1213.11189arXiv1008.3003MaRDI QIDQ3647362

Cameron McLeman

Publication date: 30 November 2009

Full work available at URL: https://arxiv.org/abs/1008.3003

zbMATH Keywords

class field towerHilbert class field\(p\)-groupsquadratic number fieldsGolod-Shafarevich

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37)

Related Items (5)

Construction of unipotent Galois extensions and Massey products ⋮ Description of Galois unipotent extensions ⋮ Heuristics for \(p\)-class towers of imaginary quadratic fields ⋮ The distribution of second \(p\)-class groups on coclass graphs ⋮ Improved methods for finding imaginary quadratic fields with high \(n\)-rank

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