Lower Central and Dimension Series of Groups

• Κύριοι συγγραφείς: Mikhailov, Roman (Συγγραφέας), Passi, Inder Bir Singh (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Lecture Notes in Mathematics, 1952
• Θέματα: Mathematics.; Associative rings.; Rings (Algebra).; Category theory (Mathematics).; Homological algebra.; Group theory.; Algebraic topology.; Group Theory and Generalizations.; Category Theory, Homological Algebra.; Algebraic Topology.; Associative Rings and Algebras.
• Φυσική περιγραφή: XXII, 352 p. online resource.
• ISBN: 9783540858188
• ISSN: 0075-8434 ;

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.