Lower Central and Dimension Series of Groups / by Roman Mikhailov, Inder Bir Singh Passi.

Format:

Book

Author/Creator:

Mikhaĭlov, Roman, author.

Passi, Inder Bir Singh, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1952.

Lecture Notes in Mathematics, 0075-8434 ; 1952

Language:

English

Subjects (All):

Group theory.

Algebra.

Algebraic topology.

Group Theory and Generalizations.

Category Theory, Homological Algebra.

Algebraic Topology.

Associative Rings and Algebras.

Local Subjects:

Group Theory and Generalizations.

Category Theory, Homological Algebra.

Algebraic Topology.

Associative Rings and Algebras.

Physical Description:

1 online resource (XXII, 352 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.

System Details:

text file PDF

Summary:

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 investigating this relationship. In addition to group theorists, the results are also of interest to topologists and number theorists. The approach is mainly combinatorial and homological. A novel feature is an exposition of simplicial methods for the study of problems in group theory.

Contents:

Lower Central Series

Dimension Subgroups

Derived Series

Augmentation Powers

Homotopical Aspects

Miscellanea.

Other Format:

Printed edition:

ISBN:

9783540858188

Access Restriction:

Restricted for use by site license.