Profinite Groups

• Main Authors: Ribes, Luis. (Author), Zalesskii, Pavel. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 40
• Subjects: Mathematics.; Group theory.; Topological Groups.; Number theory.; Topology.; Group Theory and Generalizations.; Topological Groups, Lie Groups.; Number Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-01642-4

The aim of this book is to serve both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. The book is reasonably self-contained. Profinite groups are Galois groups. As such they are of interest in algebraic number theory. Much of recent research on...

Table of Contents:

• Inverse and Direct Limits
• Profinite Groups
• Free Profinite Groups
• Some Special Profinite Groups
• Discrete and Profinite Modules
• Homology and Cohomology of Profinite Groups
• Cohomological Dimension
• Normal Subgroups of Free Pro-C Groups
• Free Constructions
• Open Questions
• Appendices (A-D) - Bibliography - Indices.