The Theory of Nilpotent 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...

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Bibliographic Details
Main Authors: Clement, Anthony E
Corporate Authors: SpringerLink Online service
Group Author: Majewicz, Stephen; Zyman, Marcos
Published: Springer International Publishing : Imprint: Birkh user,
Publisher Address: Cham :
Publication Dates: 2017.
Literature type: eBook
Language: English
Subjects:
Online Access: http://dx.doi.org/10.1007/978-3-319-66213-8
Summary: 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 volume. Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them. Topics discussed include collection processes, normal forms a
Carrier Form: 1 online resource (XVII, 253 pages)
ISBN: 9783319662138
Index Number: QA174
CLC: O152
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.