Vai al contenuto principale della pagina
Autore: | Clement Anthony E |
Titolo: | The Theory of Nilpotent Groups / / 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 |