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＜E-Book＞
Lower Central and Dimension Series of Groups / by Roman Mikhailov, Inder Bir Singh Passi
(Lecture Notes in Mathematics. ISSN:16179692 ; 1952)

Edition	1st ed. 2009.
Publisher	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Year	2009
Language	English
Size	XXII, 352 p : online resource
Authors	*Mikhailov, Roman author Passi, Inder Bir Singh author SpringerLink (Online service)
Subjects	LCSH:Group theory LCSH:Algebra, Homological LCSH:Algebraic topology LCSH:Associative rings LCSH:Associative algebras FREE:Group Theory and Generalizations FREE:Category Theory, Homological Algebra FREE:Algebraic Topology FREE:Associative Rings and Algebras
Notes	Lower Central Series -- Dimension Subgroups -- Derived Series -- Augmentation Powers -- Homotopical Aspects -- Miscellanea 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 HTTP:URL=https://doi.org/10.1007/978-3-540-85818-8

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