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The theory of nilpotent groups

Clement, Anthony E.

The theory of nilpotent groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	The theory of nilpotent groupsby Anthony E. Clement, Stephen Majewicz, Marcos Zyman.
Author:	Clement, Anthony E.
other author:	Majewicz, Stephen.
Published:	Cham :Springer International Publishing :2017.
Description:	xvii, 307 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nilpotent groups.
Online resource:	http://dx.doi.org/10.1007/978-3-319-66213-8
ISBN:	9783319662138$q(electronic bk.)

The theory of nilpotent groups
Clement, Anthony E.

The theory of nilpotent groups[electronic resource] /by Anthony E. Clement, Stephen Majewicz, Marcos Zyman. - Cham :Springer International Publishing :2017. - xvii, 307 p. :ill., digital ;24 cm.

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.

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 and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms. Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

ISBN: 9783319662138$q(electronic bk.)

Standard No.: 10.1007/978-3-319-66213-8doiSubjects--Topical Terms:

664001
Nilpotent groups.

LC Class. No.: QA177

Dewey Class. No.: 512.2

The theory of nilpotent groups
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100 1 $a Clement, Anthony E. $3 797586
245 1 4 $a The theory of nilpotent groups $h [electronic resource] / $c by Anthony E. Clement, Stephen Majewicz, Marcos Zyman.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a xvii, 307 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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 and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms. Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.
650 0 $a Nilpotent groups. $3 664001
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Associative Rings and Algebras. $3 274818
650 2 4 $a Topological Groups, Lie Groups. $3 273787
700 1 $a Majewicz, Stephen. $3 797587
700 1 $a Zyman, Marcos. $3 797588
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-66213-8
950 $a Mathematics and Statistics (Springer-11649)