Gr\"un's Theorems and Class Groups

TL;DR

This paper explores how Gr"un's theorems from group theory can be applied to analyze the structure of class groups in normal field extensions, providing new insights into algebraic number theory.

Contribution

It introduces a novel application of Gr"un's theorems to the study of class groups in normal extensions, bridging group theory and algebraic number theory.

Findings

Demonstrates the use of Gr"un's theorems in class group analysis

Provides structural insights into class groups in normal extensions

Establishes connections between group theory and number theory

Abstract

In this article we show how Gr\"un's results in group theory can be used for studying the structure of class groups in normal extensions.