BOOK
Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
This monograph explores the deep connections between algebraic number theory and group theory, specifically focusing on the structure of Galois groups and their central extensions. Fröhlich investigates how these extensions relate to the ideal class groups of algebraic number fields, providing a systematic treatment of the "genus field" and "central class field" concepts. It is a specialized research-level text intended for mathematicians working in class field theory and the arithmetic of number fields.
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