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Lower Central and Dimension Series of Groups [[electronic resource] /] / by Roman Mikhailov, Inder Bir Singh Passi



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Autore: Mikhailov Roman Visualizza persona
Titolo: Lower Central and Dimension Series of Groups [[electronic resource] /] / by Roman Mikhailov, Inder Bir Singh Passi Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009
Edizione: 1st ed. 2009.
Descrizione fisica: 1 online resource (XXII, 352 p.)
Disciplina: 512.6
Soggetto topico: Group theory
Category theory (Mathematics)
Homological algebra
Algebraic topology
Associative rings
Rings (Algebra)
Group Theory and Generalizations
Category Theory, Homological Algebra
Algebraic Topology
Associative Rings and Algebras
Classificazione: 510
MAT 200f
SI 850
Persona (resp. second.): PassiInder Bir Singh
Note generali: "ISSN electronic edition 1617-9692."
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea.
Sommario/riassunto: A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series, which consists of the subgroups determined by the augmentation powers, is a challenging task. This monograph presents an exposition of different methods for investigating this relationship. In addition to group theorists, the results are also of interest to topologists and number theorists. The approach is mainly combinatorial and homological. A novel feature is an exposition of simplicial methods for the study of problems in group theory.
Titolo autorizzato: Lower Central and Dimension Series of Groups  Visualizza cluster
ISBN: 3-540-85818-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466518603316
Lo trovi qui: Univ. di Salerno
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1952