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

• Autore: Mikhailov Roman
• 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
• ISBN: 3-540-85818-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910483277003321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1952