The Theory of Nilpotent Groups

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Collects both classical and recent results into a single, comprehensive source

Provides all necessary proofs in full detail

Can be used as a standard reference on the topic by both graduate students and researchers

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2017
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvii 307 S.
ISBN-13:	9783319662114
ISBN-10:	3319662112
Sprache:	Englisch
Herstellernummer:	978-3-319-66211-4
Einband:	Gebunden
Autor:	Clement, Anthony E. Zyman, Marcos Majewicz, Stephen
Auflage:	1st edition 2017
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	241 x 160 x 24 mm
Von/Mit:	Anthony E. Clement (u. a.)
Erscheinungsdatum:	28.11.2017
Gewicht:	0,658 kg