The aim of the lectures is to provide an introduction to recent developments in the theory of class groups and Picard groups. The techniques employed come from the three main areas: algebraic number theory, representation theory of algebras and orders, and algebraic \(K\)-theory.

Readership

Table of Contents

• Introduction
• Explicit formulas
• Change of orders
• Class groups of \(p\)-groups
• Mayer-Vietoris sequences
• Calculations
• Survey of specific results
• Induction techniques
• Picard groups
• References
• Index