Lower Central and Dimension Series of Groups

• Main Authors: Mikhailov, Roman (Author), Passi, Inder Bir Singh (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Mathematics, 1952
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Group theory.; Algebraic topology.; Group Theory and Generalizations.; Category Theory, Homological Algebra.; Algebraic Topology.; Associative Rings and Algebras.

A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series, which consists of the subgroups determined by the augmentation powers, is a challenging task. This monograph presents an exposition of different methods for...

Table of Contents:

• Lower Central Series
• Dimension Subgroups
• Derived Series
• Augmentation Powers
• Homotopical Aspects
• Miscellanea.