The Theory of Nilpotent Groups

• Main Authors: Clement, Anthony E. (Author), Majewicz, Stephen (Author), Zyman, Marcos (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Group theory.; Topological groups.; Lie groups.; Group Theory and Generalizations.; Associative Rings and Algebras.; Topological Groups, Lie Groups.

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.  While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single...

Table of Contents:

• Commutator Calculus
• Introduction to Nilpotent Groups
• The Collection Process and Basic Commutators
• Normal Forms and Embeddings
• Isolators, Extraction of Roots, and P-Localization
• "The Group Ring of a Class of Infinite Nilpotent Groups" by S. A. Jennings
• Additional Topics.