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

By:

Mikhailov, Roman [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1952Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Description: XXII, 352 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540858188

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

512.2 23

LOC classification:

QA174-183

Online resources:

Click here to access online

Contents:

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

In: Springer eBooksSummary: 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.

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

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.

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