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Cover: 9783319662114 | The Theory of Nilpotent Groups | Anthony E. Clement (u. a.) | Buch
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The Theory of Nilpotent Groups
Buch von Anthony E. Clement (u. a.)
Sprache: Englisch

115,95 €*

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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.
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
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xvii
307 S.
ISBN-13: 9783319662114
ISBN-10: 3319662112
Sprache: Englisch
Herstellernummer: 978-3-319-66211-4
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Clement, Anthony E.
Zyman, Marcos
Majewicz, Stephen
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Maße: 241 x 160 x 24 mm
Von/Mit: Anthony E. Clement (u. a.)
Erscheinungsdatum: 28.11.2017
Gewicht: 0,658 kg
Artikel-ID: 110650908
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
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xvii
307 S.
ISBN-13: 9783319662114
ISBN-10: 3319662112
Sprache: Englisch
Herstellernummer: 978-3-319-66211-4
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Clement, Anthony E.
Zyman, Marcos
Majewicz, Stephen
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Maße: 241 x 160 x 24 mm
Von/Mit: Anthony E. Clement (u. a.)
Erscheinungsdatum: 28.11.2017
Gewicht: 0,658 kg
Artikel-ID: 110650908
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