The Theory of Nilpotent Groups [[electronic resource] /] / by Anthony E. Clement, Stephen Majewicz, Marcos Zyman
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| Autore: |
Clement Anthony E
|
| Titolo: |
The Theory of Nilpotent Groups [[electronic resource] /] / by Anthony E. Clement, Stephen Majewicz, Marcos Zyman
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017 |
| Edizione: | 1st ed. 2017. |
| Descrizione fisica: | 1 online resource (XVII, 307 p.) |
| Disciplina: | 512.2 |
| Soggetto topico: | Group theory |
| Associative rings | |
| Rings (Algebra) | |
| Topological groups | |
| Lie groups | |
| Group Theory and Generalizations | |
| Associative Rings and Algebras | |
| Topological Groups, Lie Groups | |
| Persona (resp. second.): | MajewiczStephen |
| ZymanMarcos | |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | The Theory of Nilpotent Groups |
| ISBN: | 3-319-66213-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910254310803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |