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The theory of nilpotent groups

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The theory of nilpotent groups/ by Anthony E. Clement, Stephen Majewicz, Marcos Zyman.
作者:	Clement, Anthony E.
其他作者:	Majewicz, Stephen.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xvii, 307 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Nilpotent groups. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-66213-8
ISBN:	9783319662138

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

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

905806
Nilpotent groups.

LC Class. No.: QA177

Dewey Class. No.: 512.2

The theory of nilpotent groups
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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.
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650 2 4 $a Associative Rings and Algebras. $3 672306
650 2 4 $a Topological Groups, Lie Groups. $3 672074
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